17607question paper for cbse september 2012

7/30/2019 17607question Paper for Cbse September 2012

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Sample Paper 2013

Class X

Subject Mathematics

SECTION A

1. If n is any natural number then nn 56 always end with.2. If two positive numbers a & b are written as a=x3y2 & b=xy3, x,y are prime numbers

then the H.C.F. (a, b) is.3. A polynomial of degree n has (i) only one zero (ii) exactly n zeros (iii) almost n zeros

(iv) more than n zeros.

4. If ( ) cbxaxxp ++= 2 & a+c=b, then one of the zeros is (i) b/a(ii)c/a(iii)-c/a(iv)-b/a.

5. If the pair of equations x+y= 2 & 1cossin =+ yx has infinitely many solutions, the(i) 30 0(ii) 450 (iii) 600 (iv) 900.

6. The equations ax+by+c=0 & dx+ey+c=0 represent the same straight line if (i)ad=be (ii) ac=bd(iii) bc=ad (iv) ab=de.

7. If 6x=sec and tan6=

xthen find the value of

2

2 19x

x

8. Ifx_

is the mean of a distribution, then

_

xxf ii is equal to (i) 0 (ii) mean (iii) sum o

observations (iv) none9. Express x in terms of a, b, & c.

a.

2. If in two triangles ABC & PQRPQ

CA

PR

BC

QR

AB== then (i) CABPQR ~ (ii) ABCPQR ~ (ii

PQRCBA ~ (iv) PQRBCA ~3. If 2cottan 22 =+ is an acute angle, then ?cottan 33 =+ (i) 2 (ii) 3 (iii) 4 (iv) 8.4. The mean & median of 100 items are 50 & 52 respectively. The value of the largest

item is 100. It was later found that it is 110 not 100. The true mean & median are (i)50, 10, 52 (ii) 50, 52(iii) 50, 20, 52 (iv) none .

SECTION - B5. Find the greatest 6-digit number which is completely divisible by 30, 40 & 50 [999600]

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6. If the zeros of quadratic polynomial cbxax ++2 are equal then (i) c & a have oppositesign. (ii) c & b have opposite sign. (iii) c & a have same sign. (iv) c & b have same

sign.7. Solve for x & y : ax+by=a-b ; bx-ay=a+b8. Without using trigonometric tables, evaluate 4cos3sin7 22 =+ then show that

3

1tan =

9. In ABC, P & Q are the points on sides AB & AC & AP : PB = 1 : 2. findABCar

APQar

.

10. In a triangle, if square of one side is equal to the sum of the squares of theother two sides, then the angle opposite to the first side is a right angle.

11.As present age to the Bs present age is 7 : 9. 12 years ago, their ages were in the ratio 3:5

When would the ratio of the ages be 6 : 7.12.m, n are the zeros of cxax + 52 , Find the value of a & c if m+n=mn=10.

13.Find x if :( )

( ) ( )1

90tan90sin

90cos00

0

=

xec.

14.Shoe that :

4222 sinsin

1

cot

11

tan

11

=

+

+

15.In an equilateral triangle ABC, D is a point on side BC such that BD= 1/3 BC. Provethat 22 79 ABAD = .

16.O is any point inside a rectangle ABCD, Prove that2222

OCOAODOB +=+17. Two candles of equal height but different thickness are lighted. The first burnsoff in 6 hours & the second in 8 hours. How long after lighting both will the firstcandle be half the height of the second?

18.If x+a is a factor of the polynomial qpxx ++2 & nmxx ++2 prove thatpm

qna

=

19.If x = mcos . sin; y=mcos . cos & z=msin Show that x2+y2+z2=m2

20. The average marks of A, B & C is 33, while the average marks of B, C & D is 37If A obtains 30 marks, find the marks obtained by D.

21.M being the mean of X1, X2, X3, X4, X5, X6, find the value of (X1--M)+( X2-M)+( X3-M)+( X4-M)+( X5-M)+( X6-M).

SECTION D

22.Solve for x & y : bx+ay=a+b ;ba

a

ababby

babaax

+=

+

+

+

21111

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23. Prove that the sum of the squares of the diagonals of parallelogram is equal tothe sum of the squares of its sides.

24. Find the HCF if 135 & 225. Also express the HCF in the form 135a+225b for some integers a &b.25.If 03cot4cot3 2 =+ , then find the value of 22 tancot +26. The median of the following data is 52.5. find the values of x & y if the totalof frequencies is 100.

Class Intervals frequency

0-10 2

10-20 5

20-30 X

30-40 12

40-50 17

50-60 20

60-70 Y70-80 9

80-90 7

90-100 4

27.If p=+ tansec prove that sin1

12

2

=

+

p

p.

To call for asking any doubt prefer to send message on [email protected]

Or call at 99-1515-1771 any time after 10:30pm or morning 6 to 8.

VISHVAS TUTORIALS LUDHIANA

ANSWERS

1 . 1

2 . xy2

3 . (iii)

4 . (iii)

5 . (ii)

6 . (iv)

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7 .

8 . (i)

9 .cb

acx

+=

10 . (i)

11 . (i)

12. (i)

13 . {999600}

14 . (iii)

15 . x=1, y=-1

16 . ****

17 . 1:9

18 . ****

19 . 15 years

20 . a= c=5

21 . x=tan

22 . ****

23 . ****

24 . ****www.cbseguess.com



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25 . 4.8 sec

26 . ****

27 .****

28 42

29 . zero.

30 . ( )babab

x+

+=

22

( )ba

by

+=

2

31 . ****

32 . ****

33 . ****

34 . x= 9, y=15

Paper Submitted By:

Name Harsharanjit kanda

[email protected]

Phone No. 9915151771

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17607question paper for cbse september 2012

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