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Delhi Public School, Kurukshetra

Summer Holiday 2019-20

Class-X Dear Students,

Summer Vacations is a welcome break…… Break from fixed schedule, rules and regulations of school,

Freedom brings more responsibility, keeping this in mind, we have planned most of the activities for you to keep

you engaged positively and your energies well directed. Though teachers will not be physically present to keep a

supervisory eye on you and your work. Guardian Angles at home i.e.your dear mama and papa are there to take

care of your emotional, social, physical & academic needs.

We hope your home work and activities will be well managed and presented so that all of you earn a golden star

as a grade .

We wish you a wonderful time ahead!

Good habits and Good manners are life long assets and manners must be practiced until they become a habit.

Four magic words that are basics of good manners are- Please , Thank you, Excuse me and sorry . Make these

four words a habit and see the difference.

Manners

At home:

Help to keep the house clean especially the areas you us. Clear the toys, books or craft that

remain after you have finished.

Honesty is the best policy. Tell the truth at all times.

Be polite

Share the T.V time. Do not sit too close while watching T.V.

Be fair with your friends, brothers and sisters .

Be responsible

At the dining table:

Take small helping and refill, clean your plate up.

Take small bites, eat neatly, slowly with your mouth closed.

Help to clear the table and clean up.

In the Park:

Littering makes the park untidy.

Destroying the plants or plucking the flowers will spoil the beauty.

Wait for your turn on swing and slides.

At a Party:

Wish the host.

Don’t mess up somebody’s house.

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While shopping:

Softly ask your parent for what you want. If refused, don’t throw a tantrum.

Be careful, don’t touch any breakable item.

On the telephone:

If there are no elders around, don’t let the phone ring long, answer it.

Talk softly when someone is speaking on the phone and don’t interrupt.

Hygiene

Brush your teeth twice a day.

Do trim your nails often.

Do not waste water and electricity.

Keep your surrounding and environment clean. It is bad habit to throw things out of the window,

car or a balcony.

Make friends having good habits who respect their elders and use good language.

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Biology

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Holidays Home work

Class :X

Subject : Physics General Instruction :

1. A copy of this assignment should be pasted in the Holiday Home-work register.

2. All the questions should be solved in Holiday Home-work register only.

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Q2. Revise Chapter -12(Electricity) of NCERT Book.

Q3. Investigatory Project based on any topic of Science.

(Chart of the project and file of the project)

Q4. Do all blue colour questions and 20 numericals of NCERT book of Ch- 12 (Electricity)based on

The topic of ohm’s Law, Resistivity, resistance, Voltage , power in your Holiday home-work

Register.

Class-X Subject-Chemistry

Assignment-1

1.Balance the following reactions: (1)

2.Give an example of double displacement reaction. (1)

3.Zinc liberates hydrogen gas when reacted with dilute hydrochloric acid, whereas copper does not. Why? (1)

4.What is chemical formula of rust? (1)

5.Name the type of reaction taking place during digestion of food. (1)

6.Identify the type of reaction: (2)

7. A white salt on heating decomposes to give brown fumes and a yellow residue is left behind. Name the salt and write

the decomposition reaction. (2)

8.Find out the process of oxidation, reduction, oxidizing agent and reducing agent from the followings: (3)

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9.Give reason: (3)

a)silver chloride turns grey in sunlight.

b)Iron objects acquire a reddish brown coating when left exposed to moist air.

c)Oil and fat containing food items are flushed with nitrogen.

10.i)Solid calcium oxide was taken in a container and water was added slowly to it: ( 5)

a)Write the observation.

b) Write the chemical formula of product formed.

ii)What happens when CO2 is bubbled through lime water a) in small amount b) in excess

c)How will you detect presence of hydrogen gas?

Assignment-2

1.Balance the following reactions: (1)

2.Why should we not touch iron container in which CaO reacts with water? ( 1)

3. Why is respiration considered an exothermic reaction ? (1)

4. Why do copper vessel lose shine when exposed to air ? (1)

5. Potato chips manufacturers fill the packet of chips with nitrogen gas. Why ? (1)

6.A green salt on heating decomposes to produce a colourless suffocating gas and leaves behind a reddish brown residue.

Name the salt and write the decomposition reaction. (2)

7. Why are decomposition reactions called the opposite of combination reactions? Write equations for these reactions.

8. A metal ‘X’ is available in the form of ribbon and burns in air with a dazzling flame upon heating. It leaves a white

powder Y’ which dissolves in water and its solution turns red litmus blue. (3)

a)Identify ‘X’and ‘Y’.

b)Write balanced chemical equation of ‘X’with air.

9.a) What is observed when a solution of potassium iodide is added to lead nitrate solution? (3)

b) What type of reaction is this?

c)Write a balanced chemical equation for this reaction.

10. A metal strip X is dipped in blue coloured salt solution YSO4. After some time a layer of metal ‘Y’ is formed on metal

strip X. Metal X is used in galvanization whereas metal Y is used for making electric wires. (5)

(a) What could be metal ‘X’ and ‘Y’ ?

(b) Name the metal salt YSO4.

(c) What type of chemical reaction takes place between X and YSO4?

(d) Write the balanced chemical equation.

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Assignment-3

1.Balance the following reactions: (1)

2.Name the gas which produces reddish brown fumes. (1)

3.Define antioxidants .Give two examples. (1)

4.On what principle is a chemical reaction balanced? (1)

5.Why does stale food give a bad smell and a bad taste? (1)

6.What happens when an aqueous solution of sodium sulphate reacts with an aqueous solution of barium chloride? Write

the balanced chemical equation for the reaction. State the physical conditions of reactants in which the reaction between

them will not take place. (2)

7.Define Rancidity.Give two methods to prevent rancidity. (2)

(3)

9.. In electrolysis of water : (3)

(a) Name the gas collected at cathode and anode.

(b) Why is volume of one gas collected at one electrode is double of another ?

(c) Why are few drops of dil. H2SO4 added to water ?

10.A metal salt MX when exposed to light splits upto to form metal M and gas X2. Metal M is used to make ornaments

whereas gas X2 is used in making bleaching powder. The salt MX is used in black & white photography. (5)

(a) Identify the metal M.

(b) Identify the gas X2.

(c)Identify MX.

(d) Write down the chemical reaction when salt MX is exposed to sunlight.

(e)Name the type of reaction.

Assignment-4

1.How will you test a gas which is liberated when HCl acid reacts with an active metal ? (1)

2.Balance the following reactions (1)

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3. When lime stone is heated it decomposes into quick lime and carbon dioxide gas. Write the chemical equation for this

reaction. (1)

4. In which type of reaction does an exchange of partner takes place? (1)

5.Define displacement reaction. (1)

6.What changes in the colour of iron nails and copper sulphate solution do you observe after keeping the iron nails dipped

in copper sulphate solution for about 30 minutes? (2)

7. On passing excess CO2 through lime water, it first turns milky and then becomes colourless. Explain why ? Write

chemical equations. (2)

8.In the reaction (3)

CuO (s) + H2 (g) → Cu(s) + H2O (g)

(a) Name the oxidized substance.

(b) Name the reduced substance.

(c) Name the oxidizing agent and reducing agent.

9.a)How corrosion is beneficial for us? (3)

b)On heating white powder of lead(II)nitrate in boiling tube , lead oxide ,oxygen gas and brown gas ‘X’is formed

a)write the chemical reaction .

b)identify ‘X’.

c)Name the type of reaction.

10.. What types of reactions are represented by followings and define them (5)

(a) CaCO3 → CaO + CO2

(b) 2Ca + O2 → 2CaO

(c) Pb + CuCl2 → PbCl2 + Cu

(d) 2FeSO4 → Fe2O3 + SO2 + SO3

(e) Na2 SO4 + BaCl2 → BaSO4+ 2NaCl

POLYNOMIAL

1.Find the zero of the quadratic polynomial 𝒙𝟐 + 𝟕𝒙 + 𝟏𝟐, and verify the relation between the zero and its coefficients.

(ANS=-4 ,-3)

2.Find the zero of the polynomial F(u)=4𝒖𝟐 + 𝟖𝒖, and verify the relationship between the zero and its coefficients.

(ANS=0 , 4)

DELHI PUBLIC SCHOOL (KURUKSHETRA) HOLIDAY HOMEWORK

CLASS-X

ASSIGENMENT (2019-20)

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3.If 𝜶 𝒂𝒏𝒅 𝜷 𝒂𝒓𝒆 the zero of the polynomial f(x)=𝒙𝟐 − 𝟓𝒙 + 𝒌 𝒔𝒖𝒄𝒉 that 𝜶 − 𝜷 = 𝟏, 𝒇𝒊𝒏𝒅 𝒕𝒉𝒆 𝒗𝒂𝒍𝒖𝒆 of k. (ANS= K=6)

4.If 𝜶 𝒂𝒏𝒅 𝜷 𝒂𝒓𝒆 𝒕𝒉𝒆 𝒛𝒆𝒓𝒐 𝒐𝒇 𝒕𝒉𝒆 𝒒𝒖𝒂𝒅𝒓𝒊𝒕𝒊𝒄 𝒑𝒐𝒍𝒚𝒏𝒐𝒎𝒊𝒂𝒍 𝒇 𝒙 = 𝒌𝒙𝟐 + 𝟒𝒙 + 𝟒 𝒔𝒖𝒄𝒉 𝒕𝒉𝒂𝒕 𝜶𝟐 + 𝜷𝟐 = 𝟐𝟒, find the

value of k, (ANS= K=-1 ,𝟐

𝟑)

5.Find a quadratic polynomial each with the given number as the sum and product of its zero respectively

(ANS=𝒙𝟐 −𝟏

𝟒𝒙 − 𝟏)

6.If 𝜶 𝒂𝒏𝒅 𝜷 𝒂𝒓𝒆 𝒕𝒉𝒆 𝒛𝒆𝒓𝒐 𝒐𝒇 𝒕𝒉𝒆 𝒒𝒖𝒂𝒅𝒓𝒂𝒕𝒊𝒄 𝒇 𝒙 = 𝒙𝟐 − 𝒙 − 𝟐, 𝒇𝒊𝒏𝒅 𝒂 𝒑𝒐𝒍𝒚𝒏𝒐𝒎𝒊𝒂𝒍 𝒘𝒉𝒐𝒔𝒆 zero are 2𝜶 +

𝟏 𝒂𝒏𝒅 𝟐𝜷 + 𝟏. (ANS= Sum=4 ,Product=-5)

7.If 𝜶 𝒂𝒏𝒅 𝜷 𝒂𝒓𝒆 𝒕𝒉𝒆 𝒛𝒆𝒓𝒐 𝒐𝒇 𝒕𝒉𝒆 𝒒𝒖𝒂𝒅𝒓𝒊𝒕𝒊𝒄 𝒑𝒐𝒍𝒚𝒏𝒐𝒎𝒊𝒂𝒍 𝒇 𝒙 = 𝟔𝒙𝟐 + 𝒙 − 𝟐,find the value of 𝜶

𝜷+

𝜷

𝜶. (ans=

−𝟐𝟓

𝟏𝟐)

8.If the sum of the zero of the quadratic polynomial f(x)=𝒌𝒙𝟐 + 𝟐𝒙 + 𝟑𝒌 𝒊𝒔 𝒆𝒒𝒖𝒂𝒍 𝒕𝒐 𝒕𝒉𝒆𝒊𝒓 product ,find the value of

k. (ANS=−𝟐

𝟑)

9.Veryfy that 3, -1 and −𝟏

𝟑 are the zeros pf the cubic polynomial p(x)=3𝒙𝟑 − 𝟓𝒙𝟐 − 𝟏𝟏𝒙 − 𝟑 and then verify the

relationship between the zero and its coefficient.

10Find a cubic polynomial with the sum ,sum of the products of its zero takes two at a time , and product of its zeros as

2, -7 ,-14 respectively. (ANS- (𝒙𝟑 − 𝟐𝒙𝟐 − 𝟕𝒙 + 𝟏𝟒)

11.If two zero of the polynomial f(x)= 𝒙𝟑 − 𝟒𝒙𝟐 − 𝟑𝒙 + 𝟏𝟐 𝒂𝒓𝒆 𝟑 and − 𝟑 , 𝒕𝒉𝒆𝒏 𝒇𝒊𝒏𝒅 𝒊𝒕𝒔 𝒕𝒉𝒊𝒓𝒅 zero ( ANS. 𝜸 = 𝟒)

12.Find the zeros of the polynomial f(x)=𝒙𝟑 − 𝟓𝒙𝟐 − 𝟐𝒙 + 𝟐𝟒 ,if it is given that the product of its zero is 12. (ans= 3,4,-2)

13.If the zero of the polynomial f(x)=𝒙𝟑 − 𝟑𝒙𝟐 + 𝒙 + 𝟏 𝒂𝒓𝒆 a-b ,a a+ b, find a and b.(ans=a=1 , b=± 𝟐.

14.Find a cubic polynomial with the sum , sum of the product of its zero taken two at a time , and product of its zero as

3,-1 and-3 respectively, (ANS. 𝒙𝟑-𝟑𝒙𝟐 − 𝒙 + 𝟑)

1.If the sum other zeros of the polynomial (a+1)𝒙𝟐 + 𝟐𝒂 + 𝟑 𝒙 + 𝟑𝒂 + 𝟒 𝒃𝒆 − 𝟏, find the product of its zeros. (ANS:- A=-2 ,PRODUCT:-2)

2.If 𝜶 𝒂𝒏𝒅 𝜷 𝒂𝒓𝒆 𝒕𝒉𝒆 𝒛𝒆𝒓𝒐𝒔 𝒐𝒇 𝒕𝒉𝒆 𝒑𝒐𝒍𝒚𝒏𝒐𝒎𝒊𝒂𝒍 𝟓𝒙𝟐 − 𝟕𝒙 − 𝟐, 𝒇𝒊𝒏𝒅 𝒕𝒉𝒆 𝒔𝒖𝒎 𝒐𝒇 𝒕𝒉𝒆 recoprocal.

(ans:𝟏

𝟐 ,

𝟏

𝟐,−𝟐

𝟑)

3.Divede 2𝒙𝟐 − 𝟕𝒙𝟐 + 𝟕𝒙 − 𝟐 by 𝒙𝟐 − 𝟑𝒙 + 𝟐. Verify Division Algorithm for Polinomial.

4. Find all the zeros of the polynomial 𝒙𝟒 + 𝒙𝟑 − 𝟑𝟒𝒙𝟐 − 𝟒𝒙 + 𝟏𝟐𝟎,if two of its are 2 and -2.(ans=-6,5)

CLASS-X POLYNOMIAL-2

ASSIGENMENT

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5.If two zeros of the polynomial 𝒙𝟒 − 𝟔𝒙𝟑 − 𝟐𝟔𝒙𝟐 + 𝟏𝟑𝟖𝒙 − 𝟑𝟓.𝒂𝒓𝒆 𝟐 ± 𝟑 , find other zeros.

(ANS=(2+ 𝟑 , 𝟐 − 𝟑 , 𝟕 𝒂𝒏𝒅− 𝟓)

6.On dividing 𝒙𝟑 − 𝟑𝒙𝟐 + 𝒙 + 𝟐 𝒃𝒚 𝒂 𝒑𝒐𝒍𝒊𝒏𝒐𝒎𝒊𝒂𝒍 𝒈 𝒙 , 𝒕𝒉𝒆 𝒒𝒖𝒐𝒊𝒆𝒏𝒕 𝒂𝒏𝒅 𝒕𝒉𝒆 𝒓𝒆𝒎𝒂𝒊𝒏𝒅𝒆𝒓 were

x-2 and -2x+4, respectively, Find g(x)=(𝒙𝟐 − 𝒙 + 𝟏)

7.Find the value of k ,if the sum of the zeros of the polynomial 𝒙𝟐 − 𝒌 + 𝟔 𝒙 + 𝟐 𝟐𝒌 − 𝟏 𝒊𝒔 𝒉𝒂𝒍𝒇 their product. (ANS=k=7)

8.Find the value of a for which the zeros 𝜶, 𝜷 𝒐𝒇 𝒕𝒉𝒆 𝒑𝒐𝒍𝒊𝒏𝒐𝒎𝒊𝒂𝒍 𝒙𝟐 − 𝟔𝒙 + 𝒂 satisfy the relation 3𝜶 + 𝟐𝜷 =𝟐𝟎. (𝑨𝑵𝑺− 𝜶 = 𝟖, 𝒂 = −𝟏𝟔)

9.If the zeros of the polynomial 𝒙𝟑 − 𝟑𝒙𝟐 + 𝒙 + 𝟏 are 𝒂 − 𝒃 , 𝒂 , 𝒂 + 𝒃, 𝑭𝒊𝒏𝒅 𝒂 𝒂𝒏𝒅 𝒃. ( a=1,b= 𝟐 )

10.Divide 𝒙𝟒 + 𝟐𝒙𝟑 + 𝟑𝒙𝟐 + 𝟐𝒙 𝒃𝒚 𝒙𝟐 + 𝟐𝒙 + 𝟐 verify Division Algorithm.

11.Find all the zeros of 𝒙𝟒 + 𝟒𝒙𝟑 − 𝟐𝒙𝟐 − 𝟏𝟐𝒙 + 𝟗, if you know that two of its zeros are1and1. (-3,-3)

12.if two zeros of the 𝒙𝟒 − 𝟔𝒙𝟑 − 𝟐𝟔𝒙𝟐 + 𝟏𝟑𝟖𝒙 − 𝟑𝟓 are 2± 𝟑, find the other zeroes. (ans=7,-5)

13.When 𝒙𝟑 + 𝟐𝒙𝟐 + 𝟒𝒙 + 𝒃 is divided by x+1 , the quotient is 𝒙𝟐 + 𝒂𝒙 + 𝟑 𝒂𝒏𝒅 𝒕𝒉𝒆 𝒓𝒆𝒎𝒂𝒊𝒏𝒅𝒆𝒓 is -3+2b. What are the value of a and b, respectively.(ans= a=1 and b=0)

14.Find the cubic polynomial with the sum ,sum of the products of its zeros taken two at a time , and product of its

zeros as 2,-7,-14 respectively. (ans=𝒙𝟑 − 𝟐𝒙𝟐 − 𝟕𝒙 + 𝟏𝟒)

15.Find the value of a and b so that 𝒙𝟒 + 𝒙𝟑 + 𝟖𝒙𝟐 + 𝒂𝒙 + 𝒃,it will be divisible by 4𝒙𝟐 + 𝟑 (a=1,b=7)

16.Findthe zeros of the polynomial f(x)=𝒙𝟑 − 𝟓𝒙𝟐 − 𝟐𝒙 + 𝟐𝟒, 𝒊𝒇 𝒊𝒕 𝒊𝒔 𝒈𝒊𝒗𝒆𝒏 𝒕𝒉𝒂𝒕 𝒕𝒉𝒆 product of its two zeros is 12. (ans- 3,4,-2 )

1.Ten students of class X took part in Mathematics quiz. If the number of girls is 4 more than the number of boys

.Represent this situation algebraically and graphically (ans-(7,3) )

2.Show graphically that the system of equation 2x+4y=10 ,3x+6y=12 (ans= Parllel)

3.Use a single graph paper and draw the graph of the following equation .

2y-x=8 , 5y-x=14 , y-2x=1 ( ans=(-4,2)(1,3)(2,5)

CLASS-X

PAIR OF LINEAR EQUATIONS IN TWO VERIABLE ASSIGENMENT

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4.Draw the graph of 2x+y=6 and 2x-y+2=0. Shade the region bounded by these lines and x-axis ,find the area of the

shaded region (ans=8sq. unit)

5.solve the following of equations: 𝐱

𝟐+ 𝐲 = 𝟎. 𝟖 ,

𝟕

𝐱+𝐲

𝟐

= 𝟏𝟎 (ans=x=0.4, y=0.6)

6. solve the following of equations: 𝒙𝒚

𝒙+𝒚=

𝟔

𝟓 ,

𝒙𝒚

𝒚−𝒙= 𝟔 (ans=x=2,y=3)

7. solve the following of equations:𝟓

𝒙+𝒚−

𝟐

𝒙−𝒚= −𝟏 ,

𝟏𝟓

𝒙+𝒚+

𝟕

𝒙−𝒚= 𝟏𝟎 (ans=x=3,y=2)

8. solve the following of equations: x-y+ z=4 ,x-2y-2z=9 ,2x=y+3z=1 (ans=x=3,y=-2,z=-1)

9.If x+1 is a factor of 2x3+ax2=2bx+1 , then find the values of a and b given that 2a-3b=4 (ans: a=5 ,b=2)

10. solve the following of equations: (a-b)x+(a+b)y=a2-2ab-b2 and (a+b)(x+y)=a2+b2 (ans=x=a+b , y=−𝟐𝒂𝒃

𝒂+𝒃 )

11. solve the following of equations: (a+2b)x+(2a-b)y=2 and (a-2b)x+(2a+b)y=3 (ans=x=𝟓𝒃−𝟐𝒂

𝟏𝟎𝒂𝒃 , 𝒚 =

𝒂+𝟏𝟎𝒃

𝟏𝟎𝒂𝒃)

12. solve the following of equations: m x-n y=m2+n2 , x+ y=2m, (ans=x=m=n , y=m-n)

13.Find the value of k for which the system of equation ?

K x-y=2 ,6x-2y=3 (i)unique solution (ii) no solution (ans= (i)k≠ 𝟑 𝒊𝒊 𝒌 = 𝟑)

14.Determine the values of m and n so that the following system of linear equation infinitely many

Solutions: (2m-1)x+3y -5=0 and 3x=(n-1)y-2=0 (ans=m=𝟏𝟕

𝟒, 𝒏 =

𝟏𝟏

𝟓)

15.Determine the value of k so that the following equations have no solution:

(3k+1)x+3y-2=0 and (k2+1)x+(k-2)y-5=0 (ans=k=-1)

16.For which value of 𝝀𝒙 + 𝒚 = 𝝀𝟐 𝒂𝒏𝒅 𝒙 + 𝝀𝒚 = 𝟏 𝒉𝒂𝒗𝒆 (i)no solution (ii) infinitely many solutions

(iii) a unique solution (ans=(i)𝝀 = 𝟏, 𝒊𝒊 𝝀 = 𝟏 𝒊𝒊𝒊 𝒂𝒍𝒍 𝒓𝒆𝒂𝒍 𝒗𝒂𝒍𝒖𝒆 𝒐𝒇 𝝀 𝒆𝒙𝒄𝒆𝒑𝒕 ± 𝟏 )

17.Reema has pens and pencils which together are 40 in number .if she has 5 more pencils and 5 less pens ,then number

of pencils would become 4 times the number of pens .find the original number of pens and pencils.

(ans=No. of pens=13 .No. of pencils=27)

18.Jamila sold a table and chair for 1050 Rs, thereby making a profit of 10% on a table and 25% on the chair ,if she had

taken a profit of 25% on the table and 10% on the chair she would have got 1065 Rs. Find the cost price of each.

(ans=Table 500Rs, Chair 400Rs.)

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19.Susan invested certain amount of money in two schemes A and B ,which offer interested at the rate of 8% per

annum and 9% per annum ,respectively ,she received 1860Rs.as annual interest .However ,had she interchanged the

amount of investment in the two schemes ,she would have received 20Rs. More as annual interest .How much money did

she invest in each scheme.(A=10000.B=12000)

20.Vijay had some bananas ,and he divided them into two A and B .He sold first lot at the rate of 2Rs, for 3 Bananas

and the second lot at the rate 1Rs, per bananas and got a total of 400Rs.if he had sold the first lot at the rate of 1 Rs,

per bananas and the second lot at the rate 4 Rs, per five bananas ,his total collection would have been 460Rs, Find the

total number of bananas he had. (ans=500)

21.On selling a T.V at 5% gain and a fridge at 10% gain , a shopkeeper gains2000Rs,.But if he selling the T.V. at 10% gain

and the fridge at 5% loss. He gains 1500Rs, on the transaction> Find the actual prices of T,V. and fridge.

(ans=20,000 and 10,000)

22.If three times the larger of the two number is divided by the smaller one ,we get 4 as quotient and 3 as the

remainder .Also if seven the smaller number is divided by the larger one , we get 5 as quotient and 1 remainder .find

the number. (ans=25 and 18)

23.A two –digit number is 4 times the sum of its digits .if 18 is added to the number ,the digits are reversed .find the

number (ans=24)

24. A two –digits number is 4more than 6 times the sum of its digits .if 18 is subtracted from the number, the digits are

reversed ,find the number. (ans=64)

25.A two digits number is obtained by either multiplying the sum of the digits by 8 and then subtracting 5 or by

multiplying the difference of the digits by 16 and adding 3.find the number(ans83)

26.A fraction become 1/3 if 1 is subtracted from both its numerator and denominator .if 1 is added to both the

numerator and denominator .what is the fraction.(ans=3/7)

27.if we add 1 to the numerator and subtract 1 from the denominator , a fraction become 1.it also becomes 1/2 if we

only add 1 to the denominator .What is the fraction. (ans=3/5)

28.The sum of the numerator and denominator of a fraction is 3 less than twice the denominator .If the numerator and

denominator by 1 ,the numerator becomes half the denominator .Determine the fraction(ans=4/7)

1.I am three times as old as my son .Five years later ,I shall be two and half times on old as my son. How old am I and

how old is my son? (ans=father 34 , son 12 years)

2.A and B are friend and their ages differ by 2 years .A’s father D is twice as A and B is twice as old as his sister C. The

age of D and C differ by 40 years .Find the ages of A and B. (ANS=A=𝟐𝟕𝟏

𝟑 , 𝑩 = 𝟐𝟗

𝟏

𝟑)

CLASS-X

PAIR OF LINEAR EQUATIONS IN TWO VERIABLE-2 ASSIGENMENT

16

3.Two years ago, Salim was thrice as old as his daughter and six years later ,he will be four years older than twice her

age. How old are they now? (ans=Salim=38, Daughter=14)

4.The age of the father is twice the sum of the age of his two children .After 20 years ,his age will be equal to the sum of

the ages of his children .Find the age of the father. (ans=40years)

5.Ved travels 600km to his home partly by train and partly by car. He takes 8hours if he travels 120km by train and the

rest by car. He takes 20minutes longer if he travels 200km by train and the rest by car. Find the speed of the train and

the car?(ans=train=60, car=80)

6.A boat covers 32km upstream and 36km downstream in 7 hours. Also ,it covers 40 km upstream and 48km

downstream in 9 hours ,Find the speed of the boot in still and that of the stream

(ans=still=10km,speed of the stream=2km/hr.)

7.A person rowing at the rate 5km/h in still water ,takes thrice as much time in going 40km upstream as in going 40km

downstream .Find the speed of the stream. (ans=2.5km/hr)

8.Ramesh travels 760km to his home partly by train and partly by car .He takes 8 hours if he travels 160km .by train and

the rest by the car .He takes 12 minutes more if the travels 240km by train and the rest by car .find the speed of train

and car respectively.(ans=train,80km/h , car=100km/hr)

9.Place A and B are 80km apart from each other on a highway.A car starts from A and other from B at the same time .If

they move in the same direction ,They meet in 8hours and if they move in opposite direction ,they meet in 1 hour and

20minutes ,find the speeds of the cars.(ans=35km/hr ,25km/hr.)

10. A man sold a chair and a table together for Rs1250 thereby making a profit of 25% on the chair and 10% on table. By

selling them together for Rs.1535 he would have made a profit of 10% on the chair and 25% on the table .find the cost

price of each?(ans=chair=600, ,table 700)

11.Student of class are made to stand in rows. If one student is extra in a row ,there would be 2 row less .if one student

is less in a row there be 3 row more .find the number of students in the class?(ans=60 or 60.7)

12.The area of rectangle remain the same if the length is increased by 7 meters and the breadth is decreased by

3metres. The area reaming unaffected if the length id decreased by 7metres and breadth is increased by 5metres Find

the dimensions of the rectangle(ans=length=28m , breadth 15m)

13.2men and 7 boys can do a piece of work in 4days .The asame work is done in3days by 4men and 4boys .How long

would it take one man and one boys to do it?(ans=Man=15days, Boys=60days)

14.There are two examination rooms A and B .if 10 candidates are sent from A to B ,The number of Students in each

room is same.If 20 candidates are sent from B to A, the number of students in A is double the number of students in B.

Find the number of students in each room.?(ANS=100,80)

15. A railway half ticket cost half the fare and the reservation charge is the same on half ticket as on full tickets .One

reserved first class ticket from Mumbai to Ahmadabad costs Rs 216 and one full and one half reserved first class tickets

cost Rs.327.What is the basic first class full fare and what is the reservation charge?(ans=Fare=210

,Reservation=charge=6Rs)

17

16.A shopkeeper sells a saree at 8% profit and a sweater at 10% discount, thereby getting a sum of Rs1008.if she had

sold the saree at 10% profit and the sweater at8% discount, she would have got Rs.1028.find the cost price of the saree

and the list price of the sweater(ans=600,400)

17.In a competitive examination ,one mark is awarded for each correct answer while ½ marks is deducted for every

wrong answer. Jayanti answered 120 questions and got 90 marks .How many question did she answer

correctly(ans=100)

1.In each of the following determine weather the given are solution of the given equation or not:

x2+ 𝟐x-4=0 , x= 𝟐 , 𝒙 = −𝟐 𝟐 ANS-(YES ,YES)

2.In each of the following ,determine the value of k , for which the given value is a solution of the equation. K𝒙𝟐 +

𝟐𝒙 − 𝟑 = 𝟎 , 𝒙 = 𝟐 ANS-(K=−𝟏

𝟒 )

3.If one root of the quadratic equation 2x2 +kx -6=0 is 2.,find the value of k, also ,find the other root.

ANS=(x=-3/2)

4.A train travels a distance of 480 km at a uniform speed .if the speed had been 8 km /hr less ,then it would have taken

3 hours more to cover the same distance ,formulate the quadratic equation in terms of the speed of the train.

ANS-(x2-8x-1280=0)

5.Two water taps together can fill a tank in 9 𝟑

𝟖 hours. The larger takes 10 hours less than the smaller one to fill the tank

separately .formulate the quadratic to find the time in which each tap can separately fill the tank.

ANS-(4x2-115x+375=0)

6.A two digits number is such that the product of the product of the digits is 12 .when 36 is added to the number the

digits interchange their places . formulate the quadratic equation whose roots is digits of the number.

ANS-(x2+4x-12=0)

7.solve the following quadratic equation by factorization : 9x2 – 3x -2=0 ANS-(x= -1/3 ,2/3)

8. .solve the following quadratic equation by factorization:𝒙+𝟑

𝒙−𝟐−

𝟏−𝒙

𝒙=

𝟏𝟕

𝟒 ANS-(x = 4 , -2/9 )

9. solve the following quadratic equation by factorization:𝟐𝒙

𝒙−𝟑 +

𝟏

𝟐𝒙+𝟑+

𝟑𝒙+𝟗

𝒙−𝟑 (𝟐𝒙+𝟑)= 𝟎.ANS-(x=-1)

10.solve 𝒙 = 𝟏

𝟐− 𝟏

𝟐− 𝟏𝟐−𝒙

ANS-(X=1,1)

11.solve the following quadratic equation by factorization:𝒙𝟐 − 𝟐𝒂𝒙 + 𝒂𝟐 − 𝒃𝟐 = 𝟎. ANS-(a-b , a+ b)

CLASS-X

QUADRATIC EQUATIONS-1

ASSIGENMENT

18

12.Solve the following quadratic equation by factorization:4x2-4a2x+(a4 –b4)=0. ANS(𝒙 =𝒂𝟐+𝒃𝟐

𝟐 ,

𝒂𝟐−𝒃𝟐

𝟐 )

13. Solve the following quadratic equation by factorization:x2+3x- (a2+a-2)=0. ANS(x=-(a+2),(a-1) )

14. Solve the following quadratic equation by factorization:ax2+(4a2-3b)x-12ab=0. ANS-(3b/a ,-4a)

15. Solve the following quadratic equation 9x2-15x+6=0 by the method of completing the square.

ANS-(x=1 or 2/3)

16.Find the roots of thee following equation 4x2+4bx –(a2 – b 2 )=00 by the method of completing the square.

(ANS-x=- (𝒂+𝒃

𝟐) and (

𝒂−𝒃

𝟐 ).

17.In the following ,determine weather the given quadratic equations have real roots and if so, find the roots, 6 x2+x -

2=0. ANS(-2/3)

18.Solve the equation x2-( 𝟑 + 𝟏)𝒙 + 𝟑 = 𝟎 by the method of completing the square.(ANS(x= 𝟑 , 𝟏)

19.Using quadratic formula solve the following quadratic equation :9x2-9(a+b)x+(2a2+5ab+2b2)=0 ANS-(𝜶 =𝟐𝒂+𝒃

𝟑 , 𝜷 =

𝒂+𝟐𝒃

𝟑 ).

20.Solve for x: 𝒙 +𝟏

𝒙= 𝟑, 𝒙 ≠ 𝟎 ANS(

𝟑± 𝟓

𝟐 )

21.Determine the positive values of K ,for which the equation x2+kx+64=0 and x2-8x+k=0will both

have real roots. ANS-(K=16)

22.If -5 is a root of the quadratic equation 2x2+px-15=0 and the quadratic equation p(x2+x)+k=0 has equal roots ,find the

value of k. ANS-(K=7/4).

23.For what value of K ,(4-k)x2+(2k+4)x+(8k+1)=0,is a perfect square. ANS(K=0,3)

24.A two digits number is such that the product of its is 18 .when 63 is subtracted from the number ,the digits

interchange their place. find the number. ANS-(92)

25.One – fourth of a herd of camel was seen in the forest. Twice the square root of the herd had gone to mountains

and the remaining 15 camels were seen on the bank of a river. Find the total

number of camels. ANS-(36)

26.The sum of the square of two positive integer is 208.if the square of the larger number is 18 times the smaller

number ,find the number. (ANS-(8,12)

27.The denominator of a fraction is one more than twice the numerator, if the sum of the fraction and its reciprocal is

2 𝟏𝟔

𝟐𝟏,find the fraction. ANS-(3/7)

28.Find the consecutive odd positive integers, sum of whose squares is 290. ANS-(11,13)

19

29.A plane left 30 minutes later than the schedule time and in order to reach its destination 1500km away in time it has

to increase its speed by 250km/hr from its usual speed, find its usual speed.

ANS-(750 km/hr)

30.Two trains leave a railway station at the same time. The first train travels due west and the second train due north

.The first train travels 5 km/hr faster than the second train .if after two hours, they are 50 km apart .find the average of

each train. ANS-(15,20)

1.Seven years ago, Varun’s age was five times the square of Swati’s age. Three years hence swati age will be two fifth of

varun age. Find their present age. ANS-(9,27)

2.A girls is twice as old as her sister. Four years hence ,the product of their ago (in years)will be 160.find their present

age. ANS-(6,12)

3.The hypotenuse of right –angle triangle is 6meters more than twice the shortest side. if the third side is 2 meters less

than the hypotenuse ,find the sides of the triangle. ANS-(10,26,24)

4.If twice the area of a smaller square is subtraction from the area of a larger square, the result is 14 cm2.However ,if

twice the area of the larger square is added to three times the area of the smaller square ,the result is 203

cm2.Determine the sides of the square. ANS-(5,8)

5.The area of an isosceles triangle is 60 cm2. And the length of each one of its equal sides is 13 cm. find its base.

ANS-(10)

6.A swimming pool is filled with three pipes with uniform flow. The first two pipes operating simultaneously ,fill the

pool in the same time during which the pool is filled by the third pipe alone .The second pipe fills the pool five hours

faster than the first pipe and four hours slower than the third pipe ,find the time required by each pipe to fill the pool

separately. ANS-(10)

7.Two pipes running together can fill a cistern in 3 𝟏

𝟏𝟑 minutes. if one pipe takes 3 minutes more tan the other to fill it,

find the time in which each pipe would fill the cistern. ANS-(5)

8.Rs 6500 were divided equally among a certain number of persons. Had there been 15 more person ,each would have

got Rs30 less. Find the origianl number of persons. ANS-(50)

9.A dealer sells a toy for Rs.24 and gains as much per cent as the cost price of the toy .find the cost price of the toy.

ANS-(20)

10.A peacock is sitting on the top of a pillar ,which is 9 m high, from a point 27 m away from the bottom of the pillar ,a

snake is coming to its hole at the base of the pillar. Seeing the snake the peacock pounces on it. if their speeds are equal

,at what distance from the whole is the snake caught.

ANS-(12 meter)

CLASS-X

QUADRATIC EQUATIONS-2

ASSIGENMENT

20

11.if the sum of the roots of the equation x2-x=𝜶 𝟐𝒙 − 𝟏 𝒊𝒔 𝒛𝒆𝒓𝒐, 𝒕𝒉𝒆𝒏 𝜶 𝒊𝒔 𝒆𝒒𝒖𝒂𝒍 𝒕𝒐 __

(i)-2 (ii)2 (iii)-1/2 (iv)1/2) ANS-(iii)

12.if the sum and product of the roots of the equation kx2+6x=4k=0 are equal ,then k=__

(i)-3/2 (ii)3/2 (iii)2/3 (iv)-2/3) ANS-(i)

13.if one root of the equation x2+ax+3=0 is 1,then its other root is _ (i)3 (ii)-3 (iii)2 (iv)-4

ANS-(i)

1.Let a sequence be defined by a1=3 ,an=3an-1 +1, for all n> 1. (ANS- 3,10,10,94)

2.Write an A.P having 4 as the first term and -3 as the common difference. (ANS- 4,1,-2,-5,-8…..)

3.In which of the following situations, the sequence formed will from an A.P ? Number of students left in the school

auditorium from the total strength of 1000 students when they leave the auditorium in batches of 25.

(ANS-1000,975,950,925……)

4. In which of the following situations, the sequence formed will from an A.P ? The cost of digging a well for the first

meter is Rs150 and rises by 20 for each succeeds meter. (ANS-Does not A.P).

5.The nth term of an A.P IS 6n+2.Find the common difference. (ANS-n=6)

6.Determine the 10th terms from the end of the A.P ,4,9,14………,254. (ANS=209)

7.If the 8th term of an A.P is 31 and 15 term is 16 more than the 11th term ,find the A.P. (ANS=3,7,11,15,19).

8.Which term of the sequence 20,19𝟏

𝟒 , 𝟏𝟖

𝟏

𝟐, 𝟏𝟕

𝟑

𝟒, … . 𝒊𝒔 𝒕𝒉𝒆 𝒇𝒊𝒓𝒔𝒕 𝒏𝒆𝒈𝒕𝒊𝒗𝒆 𝒕𝒆𝒓𝒎 ?(ANS=n≥ 𝟐𝟖)

9.The sum of 5th

and 9th

term of an A.P is 72 and the sum of 7th

and 12th

terms is 97,Find the A.P.(ANS=6,11,16,21,26…..)

10.If five times the fifth term of an A.P .is equal to 8 times its eighth term,show that 13 term is Zero.

11.If the pth term of an A.P is q and the qth term is p ,prove that its nth term is (p+q-r).

12.How many number of two digits are divisible by 7? (ANS=13)

13.Which term of the A.P.3,15,27,39……will be 132 more than its 54th term? (ANS=n=65)

14.Suba Rao started work in 1995 at an annual salary of Rs 5000 and received a Rs 200 raise each year. In what year did

his annual salary will reach Rs7000? (ANS=n=11)

15.The 17th Term Of An Is 5 More Than Twice Its 8th Term .If the 11th Term Of The A.P Is 43 .find the nth an A.P

(ANS=4n-1)

CLASS-X

ARITHMETIC PROGRESSION

ASSIGENMENT

21

16.The 9th term of an A.P is equal to 6 time its second term.if its 5th term is 22.find the A.P.(ans-2,5,7,9…).

17.The sum of three number in A.P. ,and their product is 8.find the number. (ANS=d=±𝟑)

18.Find four number in A.P.whose sum is 20 and the sum of whose square is 120. (ANS=8,6,4,2)

19.If 2x,x+10 ,3x+2 are in A.P.find the value of x. (ANS=X=6)

20.The sum of three terms of an A.P. is 21 and the product of the first and the third terms exceeds the second term by

6,find three terms. (ANS=1,7,13)

21.The angles of a quadrilateral are in A.P. whose common difference is 100.find the angles.75,85,95,105)

22.Find the sum of first 20terms of an A.P. in which 3rd term is 7 and 7th term is two more than thrice of its 3rd term.

(ANS=740)

23.The sum of first six terms of an arithmetic progression is 42.The ratio of its 10th term to its 30 term is 1:3.calculate

the first and the 13th term of an A.P. (ANS=26)

24.Find the sum of all odd integer between 2 and 100 divisible by 3. (ANS=867)

25.In an A.P ,the sum of first n term is 𝟑𝒏𝟐

𝟐+

𝟓𝒏

𝟐, 𝒇𝒊𝒏𝒅 𝒊𝒕𝒔 𝟐𝟓𝒕𝒉 𝒕𝒆𝒓𝒎𝒔. (ANS=76)

26.The sum of the third and seventh terms of an A.P. is 6 and their product is 8 ,find the sum of first sixteen terms of the

A.P. ((ANS=76 OR 20)

27.If in an A.P. the sum of m terms is equal to n and the sum of n terms is equal to m, then prove that the sum of (m + n)

terms is –( m + n).

28.The ratio of the sum of n terms of two A.P,is (7n+1) :(4n+27),find the ratio of their mth terms.(ANS=14m-6

: 8m+23 )

29.The ratio of the sums of m and n terms of an A.P.is m2 :n2.Show that the ratio of the mth and nth terms is (2m-1) :

(2n-1).

30.The contract on construction job specifies a penalty for delay of completion beyond a certain date as follows. Rs 200

for the first day Rs 250 for the second day.Rs300for the third day. etc. the penalty for each succeeding day being Rs50

more than for the preceding day. How mach does a delay of 30 days cost the contractor? (RS.27750)

31.In a school ,students through of planting trees in and around the school to reduce noise pollution and air pollution .it

was decided that the number of trees that each section of each class will plant be the same as the class in which they

are studying –a section of I class will plant 1 tree , a section of II class will plant 2 trees and so on a section of a class XII

will plant 12 trees .There are three section of each class .How many trees will be planted by the students? (ANS=234)

32.200 logs are stacked in the following in the following manner.20 logs in the bottom row,19 in the next row,18 in the

row next to it and so on .In how many rows 200 logs are placed and how many logs are in the top row?

(ANS=n=25, there are 5 logs in the top row)

22

33.Raghav buy a shop for Rs1,20,000.He pays half of the amount in cash and agrees to pay the balanced in 12 annual

installments of Rs5000 each ,if the rate of interest is 12 % and he pays with the installment the interest due on the

unpaid ,fifth the total cost of the shop. (ANS=1,66,800)

34.The digits of a positive integer, having three digits are A.P. and their sum is 15.The number obtained by reversing the

digits is 594 less than the original number. find the number .(ANS=852)

35.A man repays a loon of Rs. 20 in the first month and then increases the payment by Rs 15 every month. How long

will it take him to clear thee loan? (ANS=20 months)

Computer Applications (Code 165)

Summer Vacations Homework (2019-20)

Introduction to Internet

*Create a Project Report file containing atleast any 15 HTML programs with their output.

23

L-2 Internet Services

24

25

L-3 Introduction to HTML

26

Home work for Parents

Dear Parents,

We are the caretakers of your ward/s. You might have noticed that they feel very happy to come to school.

We are providing the best infrastructure, academics, activities and sports, which are very important for the

growth and development of your ward/s. Your ward/s are really enjoying our care and attention and we do

understand that the school life is the most important period of their life. Now you are going to spend some

good time with your ward/s as natural guardian, during summer break. Therefore, a few tips as a class teacher

I wish to share with you…

Have at least two meals together with your ward/s. Tell them many people work hard to provide you a meal.

Let him understand the importance of agriculture and the hard work of people in the fields.

Let them wash their own plate after every meal. Children learn dignity of labour from such habits.

The word or Idiom, which you get with morning SMS, discuss with them.

Visit 3 neighbours. Know more about them, click pics with them and build a good rapport with them.

Allow them to help you in cooking, let children learn to make some snacks, etc.

Take them to your workplace and let them understand that you work hard to support the family.

Try to share stories with them and tell them about your childhood and family story.

As far as possible keep them away from TV and Mobile phones.

Look into the eyes of your ward/s, thank God for giving you one, which is a absolute wonder of nature.

You and we are only a temporary custodian and in a short while she/he will be soaring where we have no role

to play.

We wish you good wishes for a wonderful and marvelous vacation.