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Page 2

SUBJECT TOTAL TOPICS TOTAL DURATION

Science 299 17.14.59

Mathematics 241 11.28.36

TOTAL 540 28.43.35

Page 3

Science

Topic Name Duration

Chapter 01: Alternate Sources of Energy

1. Renewable Resources of Energy 00.04.35

2. Solar Energy (Active Solar Systems) 00.04.48

3. Solar Cooker 00.06.25

4. Solar Concentrator 00.02.00

5. Solar Energy (Passive Solar Heating and Photovoltaic Devices)

00.05.55

6. Biodiesel 00.04.56

7. Vertical Axis Windmill 00.06.55

8. Wind Energy 00.03.41

9. Windmills 00.06.46

10. Non-conventional Sources of Energy 00.01.43

Chapter 02: Environmental Issues

1. Pollution 00.02.03

2. Environmental pollution 00.02.06

3. Causes of Air Pollution 00.02.43

4. Air pollution 00.02.59

5. Photochemical smog 00.03.51

6. Sources of Air Pollution 00.01.36

7. Methods of controlling air pollution 00.05.20

8. Water pollution 00.03.16

Page 4

Science

Topic Name Duration

9. Effect of Temperature on the Solubility of Gases and Thermal Pollution

00.04.49

10. Causes and prevention of water pollution 00.03.04

11. Land pollution 00.02.16

12. Water, soil and sound pollution 00.03.01

13. Ozone layer 00.03.37

14. Green House Gases 00.04.01

15. The Global warming 00.02.02

16. Acid Rain 00.05.00

17. Acid rain and its harmful effects 00.02.04

Chapter 03: Periodic Classification of Elements

1. Dobereiner's Law of Triads 00.01.31

2. Newlands' Law of Octaves 00.04.17

3. Introduction to Modern Periodic Table 00.00.00

4. Modern Periodic Table 00.06.30

5. Atomic Size and Ionization Potential (Transition Element)

00.01.38

6. Atomic Radius and its Types 00.02.52

7. Periodic Trends in Atomic Radii 00.02.39

8. Ionization Energy 00.02.54

9. Metallic and Non-metallic Properties in a Period 00.01.57

Page 5

Science

Topic Name Duration

10. Metals and Non Metals (Reaction with Oxygen) 00.03.42

11. Mendeleev's Periodic Table and Periodic Law 00.04.57

Chapter 04: Silicon

1. Structures of Silicon Dioxide and Carbon Dioxide 00.05.48

Chapter 05: Green Plants and Chordates

1. Red and Brown Algae 00.01.52

2. Algae and diatoms 00.02.59

3. Alternation of generations in bryophytes 00.02.58

4. Funaria (Moss) 00.00.00

5. Liverworts and lichens 00.04.02

6. Pteridophytes 00.02.45

7. Fern 00.00.00

8. Gymnosperms 00.02.27

9. Angiosperms 00.01.31

10. Parts of a flower 00.02.52

11. Difference between dicots and monocots 00.02.17

12. Chordata (protochordata) 00.03.16

13. Chordates and mammals 00.03.52

14. Subphylum Vertebrata 00.03.37

15. Superclass Pisces 00.05.18

16. Fish and amphibia 00.03.31

Page 6

Science

Topic Name Duration

17. Life cycle of frog 00.00.00

18. Class-Reptilia 00.02.52

19. Reptiles and birds 00.02.26

20. Class Aves 00.05.11

21. Class-Mammalia 00.04.46

Chapter 06: Plant and Animal Tissues

1. Meristematic tissue 00.02.33

2. Plant tissues (Meristematic tissues) 00.01.58

3. Plant tissues (Permanent tissues I) 00.02.50

4. Plant tissues (Permanent tissues II) 00.04.34

5. Permanent tissues (Simple tissues -1) 00.04.09

6. Simple tissues 00.02.56

7. Epithelial tissue 00.04.31

8. Muscle tissues and nervous tissues 00.02.24

9. Types of human muscles 00.02.04

10. Areolar connective tissues 00.03.27

11. Adipose tissue 00.02.57

12. Ligaments 00.02.20

13. Structure of the bone 00.03.26

14. Anatomy of the bone 00.03.00

15. Blood Composition 00.06.13

Page 7

Science

Topic Name Duration

16. Structure of neuron 00.03.45

17. Types of neurons 00.05.28

Chapter 07: Microbial Diseases

1. Hepatitis B and Jaundice 00.03.53

2. AIDS 00.05.41

Chapter 08: Types of Motion

1. Motion 00.02.33

2. Types of Motion 00.04.02

3. Speed of Waves in a Medium 00.02.14

4. Classification of Waves 00.02.44

5. Longitudinal and Transverse Waves 00.01.27

6. Simple Harmonic Motion 00.04.26

7. Graphical Representation of Simple Harmonic Motion 00.03.33

8. Period of a Simple Pendulum 00.00.00

9. Pendulum 00.02.37

10. Simple Harmonic Oscillator 00.02.27

Chapter 09: Heat Engines

1. Energy 00.01.41

2. Heat 00.01.39

3. Simple heat engine 00.01.22

Page 8

Science

Topic Name Duration

4. Steam Engine 00.01.40

5. Internal Combustion Engine 00.06.07

Chapter 10: Nuclear Energy

1. Renewable Resources of Energy 00.04.35

2. Radioactivity 00.07.44

3. Radioactive Elements 00.03.42

4. Nuclear Chain Reaction 00.06.37

5. Nuclear Fission 00.04.45

6. Energy Released in Nuclear Fission 00.04.29

7. Nuclear Energy 00.02.00

8. Atomic or nuclear reactor 00.01.03

9. Nuclear reactor and nuclear chain reaction 00.03.37

10. Nuclear Fusion 00.04.06

11. Energy Generation in stars 00.04.41

12. Nuclear Risks 00.02.55

Chapter 11: Industrial Inorganic Chemistry

1. Glass 00.04.12

Chapter 12: Carbon and its Compounds

1. Carbon 00.02.32

2. Difference Between Diamond and Graphite 00.04.46

Page 9

Science

Topic Name Duration

3. Fullerenes 00.01.25

4. Bonding in Carbon 00.05.05

5. Methane 00.01.53

6. Isomers and Isomerism 00.00.00

7. Chemical Properties of Organic Compounds (Part - I) 00.05.12

8. Chemical Properties of Organic Compounds (Part-II) 00.02.57

9. Hydrocarbon Compounds 00.03.34

10. Source of Hydrocarbons 00.01.54

11. Organic Compounds (Classification of Hydrocarbons) 00.02.04

12. IUPAC Nomenclature-I(Alkanes) 00.02.09

13. 3D Representation of Organic Molecules 00.00.00

14. Combustion and its Types 00.01.51

15. Chemical Properties of Carbon 00.02.18

16. Types of Organic Reactions 00.05.40

17. Homologous Series 00.00.00

18. Alkenes 00.06.04

19. Hybridization in Organic Compounds 00.08.09

20. The Sigma ( σ ) and the Pi ( π ) Bond 00.07.25

21. Alkynes 00.05.01

22. Alkanes 00.04.30

23. The Criteria for Aromaticity 00.06.11

24. Nomenclature and Isomerism 00.02.11

25. Structure of Benzene 00.00.00

Page 10

Science

Topic Name Duration

26. Polycyclic Aromatic Hydrocarbons 00.05.30

27. Classification of Functional Groups (Part- 1) 00.04.52

28. Classification of Functional Groups (Part - II) 00.06.27

29. Alcohols and their Classification 00.01.50

30. Nomenclature of Alcohols 00.00.00

31. Proteins 00.03.26

32. Addition Reactions of Alkenes 00.02.54

33. Laboratory Preparation of Soap 00.00.00

Chapter 13: Industrial Organic Chemistry - Sucrose and Ethyl Alcohol

1. Sucrose 00.02.35

2. Industrial Production of Ethanol 00.01.02

Chapter 14: Sound

1. Sound 00.03.52

2. Reflection of Sound 00.03.48

3. Echo 00.03.49

4. Applications of Echo 00.01.32

5. Infrasonics and Ultrasonics 00.05.13

6. SONAR 00.04.41

7. Doppler Effect in Sound 00.06.11

Page 11

Science

Topic Name Duration

8. Different Cases of Doppler Effect 00.05.32

9. Doppler Effect in Electromagnetic Waves 00.07.29

Chapter 15: Metals

1. Physical Properties of Metals 00.06.56

2. Reaction of Metals with Oxygen 00.04.46

3. Metals and Non Metals (Reaction with Oxygen) 00.03.42

4. Reaction of Metals with Hydrogen 00.01.08

5. Reaction of Metals with Chlorine 00.01.11

6. Electrovalent Bond (Ionic Bond) 00.03.30

7. Reaction of Metals with Water 00.02.37

8. Chemical Properties of Dilute Sulphuric Acid 00.02.20

9. Chemical Properties of Concentrated Sulphuric Acid 00.03.17

10. Reaction of Metals with Acids 00.04.05

11. Displacement Reactions 00.02.42

12. Relative Reactivity of Metals 00.00.00

13. Metals and Minerals 00.03.53

14. Extraction of Iron 00.02.05

15. Principles of Extraction of Metals 00.04.52

16. Concentration of Ores 00.02.31

17. Metallurgy (Roasting And Calcination) 00.01.15

18. Aluminium 00.02.49

Page 12

Science

Topic Name Duration

19. Hoope's Process for Refining Aluminium 00.01.58

20. Alloys and their Uses 00.04.14

Chapter 16: Electro Magnetic Induction

1. Electromagnetic Induction 00.03.40

2. Faraday's Laws 00.03.52

3. Faraday's Experiments 00.02.26

4. Electromagnetic Induction and Faraday's Experiments 00.03.40

5. Fleming's Right Hand Rule 00.02.15

6. AC Generator 00.06.05

7. Direct and Alternating Current 00.07.14

8. DC Generator 00.04.35

9. DC Motor 00.03.52

10. Fundamentals of a DC Motor 00.07.31

11. Fleming's Left Hand Rule 00.02.01

12. Explanation of Motor Force 00.03.06

13. AC Motor 00.04.43

14. Transformers 00.09.18

Chapter 17: Electronics

1. Conductors and Insulators 00.03.45

2. Electric Conductors and Insulators 00.03.20

3. Physical Properties of Water 00.01.50

Page 13

Science

Topic Name Duration

4. Semiconductors (Introduction) 00.02.42

5. Silicon and Germanium Semiconductors 00.02.33

6. Semiconductors 00.07.05

7. Intrinsic Semiconductors 00.03.42

8. Extrinsic Semiconductor (Part-1) 00.04.02

9. Extrinsic Semiconductor (Part-2) 00.02.51

10. N-type semiconductor 00.03.03

11. P-type semiconductor 00.00.55

12. p-n Junction Diode (Part-1) 00.03.43

13. p-n Junction Diode (Part-2) 00.04.26

14. Working of a p-n Junction Diode (Forward Bias) 00.10.32

15. Working of a p-n Junction Diode (Reverse Bias) 00.08.58

16. Half Wave Rectifier 00.03.58

17. Full wave rectifier 00.00.54

18. Light Emitting Diode 00.04.19

19. Zener Diode (Working) 00.03.12

20. I-V characteristics of a Zener Diode 00.00.00

21. Photodiode 00.02.11

22. Logic Gates 00.06.52

23. Basics of a Transistor 00.04.30

24. Transistors 00.04.37

25. Transistor Amplifier 00.10.10

26. Transistor oscillator 00.01.56

Page 14

Science

Topic Name Duration

27. Transistor as a Switch 00.12.30

28. Superconductivity 00.02.04

Chapter 18: Behaviour of Gases

1. Charles' Law 00.05.03

2. Boyle's Law (Part-1) 00.02.40

3. Boyle's Law (Part-2) 00.02.36

4. To Verify Boyle's Law 00.00.00

5. Factors Affecting Pressure of the Gas 00.04.01

6. Diffusion 00.02.50

7. Graham's Law of Diffusion of Gases 00.03.25

Chapter 19: Plant and Animal Breeding

1. Plant breeding 00.00.00

2. Cultivation of crops 00.01.43

3. Application of tissue culture 00.02.55

4. Application of Antisense Technology 00.04.39

5. Hydroponics 00.03.33

6. Animal husbandry 00.04.02

Page 15

Science

Topic Name Duration

Chapter 20: Control and Coordination in Plants and Animals

1. Plant movements (Tropism) 00.04.29

2. Plant Hormones 00.04.12

3. Plant growth substances 00.02.17

4. Chemical coordination in animals 00.03.23

5. Exocrine glands and Endocrine glands 00.05.04

6. Chemical coordination in humans 00.04.38

7. Pituitary and pineal glands 00.05.18

8. Thyroid gland 00.03.43

9. Thyroxine and related disorders 00.04.01

10. Parathyroid glands 00.04.53

11. Juxtaglomerular apparatus (JGA) and pancreas 00.02.51

12. Adrenal glands 00.03.19

13. Sex hormones 00.02.45

14. Nervous system 00.03.13

15. Sub systems of the nervous system (CNS, PNS) 00.01.47

16. Brain (Anatomy and function) 00.04.37

17. Structure of the brain: Forebrain 00.05.15

18. Spinal cord (Myelon) 00.03.31

19. Reflex action 00.02.07

20. Reflex arc 00.03.03

21. Eye (Anatomy and physiology) 00.05.05

Page 16

Science

Topic Name Duration

22. Accommodation of the eye 00.01.51

23. Defects of Vision and their Correction 00.07.44

24. Complications of diabetes 00.03.45

25. Mechanism of hearing 00.05.13

26. Olfactory system of human beings 00.02.52

27. Tongue (Organ of taste) 00.04.17

28. Skin 00.03.08

Chapter 21: Heredity

1. Mendel's Dihybrid experiment 00.00.00

2. Mendel's monohybrid crosses 00.04.33

3. Law of segregation 00.01.47

4. Law of Independent Assortment 00.00.00

5. Incomplete dominance 00.00.00

6. Chromosomes, genes and DNA 00.03.50

7. DNA Structure 00.02.54

8. Structure of DNA 00.02.55

9. DNA Replication (Prokaryotic) 00.00.00

10. Application of genetic engineering 00.03.16

11. Recombinant DNA replication and transfer 00.03.12

12. DNA fingerprinting 00.00.00

13. Genomics and cloning 00.03.40

14. Application of Antisense Technology 00.04.39

Page 17

Science

Topic Name Duration

Chapter 22: Ionic Conduction

1. Conduction of Electricity 00.02.38

2. Electrolytes 00.01.28

3. Differences Between Metallic Conductors And Electrolytes

00.01.43

4. Difference Between Electrochemical Cell and Electrolytic Cell

00.01.58

5. Acid solutions Conduct Electricity 00.01.12

6. Strength of an Acid or a Base 00.03.03

7. The Degree of Dissociation 00.02.51

8. Dissociation and Association 00.03.37

9. Arrhenius Theory of Acids & Bases 00.05.17

10. Electrolysis 00.05.16

11. Electrolysis of Water 00.03.54

12. Electrolysis of Aqueous Cupric Chloride (CuCl2) 00.01.38

13. Polyatomic Ions 00.02.36

14. Faraday's First Law of Electrolysis 00.07.17

15. Faraday's Second Law of Electrolysis 00.02.41

16. Electroplating Activity 00.00.00

17. Applications of Electrolysis (Part-I) 00.03.55

18. Applications of Electrolysis (Part-II) 00.06.01

19. Hoope's Process for Refining Aluminium 00.01.58

Page 18

Science

Topic Name Duration

Chapter 23: The Story of Humans

1. Hominid evolution 00.00.00

Chapter 24: Space Science

1. Stars in the Sky 00.02.46

2. Stars (A) 00.04.46

3. Stars (B) 00.03.54

4. Stars (C) 00.03.58

5. Galaxy 00.03.51

6. The origin of universe and big bang theory 00.01.31

7. Orbital Period of Satellite 00.00.00

8. Escape Speed 00.09.00

9. Artificial Satellites 00.03.14

10. Satellites in Orbits 00.05.12

11. Geostationary satellites 00.02.51

TOTAL TOPICS IN SCIENCE – 299 17.14.59

Page 19

Mathematics

Topic Name Duration

Unit 01: Real Numbers

1. Number System 00.00.00

2. Irrational Numbers 00.03.39

Unit 02: Sets

1. Introduction to Sets 00.05.53

2. Set Theory: Introduction 00.04.01

3. Venn Diagram 00.06.07

4. Set Operation: Union 00.01.48

5. Set Operation: Intersection 00.01.34

6. Set Operations: Distributive Law 00.01.24

7. De Morgan's Law and Distributive Law: Illustration 00.01.00

8. Number of Elements in Sets 00.01.32

9. Sets: n(A ∪ B) = n(A) + n(B) - n(A ∩ B) 00.05.36

Unit 03: Progressions

1. Sequence: Introduction - 1 00.02.20

2. Sequence: Illustration - 1 00.01.49

3. Sequence: Illustration 00.04.32

4. Geometric sequence 00.05.26

5. Arithmetic Progression 00.05.16

6. Arithmetic Progression 00.00.00

Page 20

Mathematics

Topic Name Duration

7. Arithmetic progression: Illustrations 00.01.02

8. Arithmetic progression: Example 00.02.35

9. General Term of an Arithmetic Progression 00.03.41

10. Sum of the First 'n' Terms of an Arithmetic Progression 00.05.36

11. Arithmetic series 00.01.43

12. Arithmetic sequences and series 00.04.32

13. Sum of 'n' terms of an AP 00.00.00

14. Geometric Series 00.08.01

15. Geometric series 00.02.51

16. Geometric Series: Illustration 00.01.21

17. Arithmetic means between two numbers 00.02.17

18. Mean 00.02.17

19. Arithmetic and Geometric Mean: Illustration 00.01.22

20. Geometric mean 00.02.46

Unit 04: Permutations and Combinations

1. Introduction to Permutations 00.06.07

2. Permutations 00.02.19

3. Permutations: Illustration 00.01.23

4. Permutations 00.06.09

5. Fundamental Principle Counting 00.00.00

6. Factorial notation 00.02.47

7. Linear permutation 00.04.21

Page 21

Mathematics

Topic Name Duration

8. Permutation with repetitions 00.01.51

9. Permutation: Illustration 00.04.26

10. Combinations 00.01.49

11. Permutation and combination: Theorem 00.01.58

12. Permutation and combination: Theorem 2 00.01.43

13. Permutations and combinations: Illustrations 00.09.06

14. Permutations and combinations: Illustration - 2 00.02.13

15. Combinations: Illustration 00.01.38

16. Combinations: Illustration - 3 00.02.20

17. Maximum value of n C r 00.03.02

Unit 05: Probability

1. Introduction to Probability 00.05.01

2. Probability 00.00.00

3. Probability 00.00.00

4. Probability 00.00.00

5. Introduction to Experimental Probability 00.03.55

6. Random experiment 00.02.44

7. Theorems of probability - 1 00.03.40

8. Theorems of probability - 2 00.05.19

9. Sample space 00.02.33

10. Probability of Equally Likely Elementary Events 00.02.33

11. Complementary Events 00.04.40

Page 22

Mathematics

Topic Name Duration

12. Some Types of Events 00.02.48

13. Probability: Mutually Exclusive Events 00.02.40

14. Expression of Events in Notation Form 00.02.31

15. Probability of Events: Illustration 00.03.18

Unit 06: Statistics

1. Mean Deviation about Mean for Continuous Frequency Distribution

00.00.00

Unit 08: Polynomials

1. Introduction to Polynomials 00.06.21

2. Degree of a Polynomial 00.02.34

3. A polynomial 00.01.52

4. Quadratic Polynomial 00.03.26

5. The Value of a Polynomial 00.00.57

6. Zero Polynomial 00.03.27

7. Zeroes of a Polynomial 00.10.02

8. Dividing polynomial by a polynomial: Division Method 00.00.41

9. To divide a Polynomial by a Polynomial 00.00.54

10. To divide a Polynomial by a monomial 00.02.28

11. Division of a Polynomial by a Binomial 00.01.49

12. Remainder theorem 00.04.24

13. Remainder Theorem: Illustration 00.02.25

Page 23

Mathematics

Topic Name Duration

14. Application of the Remainder Theorem: Example 00.03.07

15. Application of the Remainder Theorem 00.03.07

Unit 09: Quadratic Equations

1. Quadratic Equation 00.03.57

2. Roots of a Quadratic Equation: Illustration 00.06.42

3. Solution of Quadratic Equation: Factorization Method 00.03.44

4. Roots of a Quadratic Equation (Factorization) 00.04.51

5. Quadratic Equations: Illustration 00.04.00

6. The Solution of a Quadratic Equation by the Method of Perfect Square

00.01.25

7. Quadratic Polynomial: Completing the Square (a + b)² 00.04.22

8. Quadratic Polynomial: Completing the Square (a - b)² 00.04.58

9. Solution of Quadratic Equation by the Method of Perfect Square: Illustration

00.00.58

10. Solution of quadratic equation by the method of perfect square (i)

00.06.28

11. Roots and Discriminant 00.06.23

12. Quadratic Equation: Illustration 00.02.16

13. Roots of Equation Reducible to Quadratic Equation 00.02.04

14. Discriminant and Nature of Roots 00.01.58

15. Sum & product of the roots of a quadratic equation 00.04.48

16. Relationship between Zeroes and Coefficients of a Polynomial

00.00.00

Page 24

Mathematics

Topic Name Duration

17. Relation of roots and the coefficients of a quadratic equation

00.04.07

18. Formation of Quadratic Equation from Roots 00.01.10

19. Value of the Symmetric Expressions of α and β 00.00.37

20. Quadratic equation: Illustration-2 00.02.38

Unit 10: Similar Triangles

1. Similar Triangles 00.04.06

2. Similarity 00.08.28

3. Introduction to Similarity 00.02.34

4. Similarity of Triangles: Introduction 00.02.26

5. SimilarIty of Triangles 00.03.58

6. Congruent triangles and similar triangles 00.02.41

7. Proportional Parts within Triangles 00.00.00

8. Basic Proportionality Theorem 00.00.00

9. Basic Proportionality Theorem 00.04.44

10. Basic Proportionality Theorem: Corollary 00.02.22

11. Fundamental Theorem of Equal Proportion: Illustration 00.02.30

12. Converse of Basic Proportionality Theorem 00.05.15

13. Triangle Angle Bisector 00.01.06

14. Criteria for Similarity of Triangles 00.04.00

15. AAA Similarity Criterion: Illustration 00.04.54

16. Angle Angle Similarity Postulate 00.02.08

Page 25

Mathematics

Topic Name Duration

17. Similarity: Illustration 00.03.23

18. SSS Criterion for Congruence: Examples 00.03.45

19. Application of SSS Similarity Criterion 00.02.53

20. Application of SSS and SAS Criteria for Congruence of Triangles

00.04.42

21. Congruence of Triangles - SAS Criterion 00.07.35

22. Application of SAS Congruence Criterion 00.01.28

23. An Application of SAS Postulate 00.02.38

24. SAS Similarity Criterion and its Application 00.05.53

25. Area and Perimeter of Similar Figures 00.00.00

Unit 11: Pythagoras Theorem

1. Pythagoras’ Theorem: Proof 00.01.35

2. Verification of Pythagoras' Theorem 00.00.00

3. Application of Pythagoras Theorem 00.02.53

4. Apollonius' Theorem 00.02.00

5. Pythagoras Theorem: Illustration 00.02.45

6. Converse of Pythagoras' Theorem 00.03.11

7. Converse of Pythagoras' Theorem: Illustration 00.02.23

Unit 12: Trigonometry

1. Introduction :Trigonometry 00.01.03

2. Introduction to Trigonometry 00.02.56

Page 26

Mathematics

Topic Name Duration

3. Trigonometric ratios 00.03.29

4. Trigonometric Ratios 00.00.00

5. Trigonometric Ratios: Illustration 00.02.12

6. Definition of Sine and Cosine Ratios 00.03.49

7. The Invariant nature of the trigonometric ratios 00.01.35

8. Trigonometric Ratios for the Angle of 45° 00.01.51

9. Trigonometric Ratios for the Angle of 30° 00.01.43

10. Trigonometric Ratios for the Angle of 60° 00.04.24

11. Trigonometric Identities 00.05.38

12. Inter-relationship between the trigonometric ratios 00.02.31

13. Inter- relationship between Trigonometric Ratios: Illustration

00.03.25

14. Trigonometric Ratios of Complementary Angles 00.00.00

15. Application of Trigonometry 00.00.00

16. Heights and Distances: Example 00.01.52

17. Heights and Distances: Practical Problem 00.01.52

18. Application of Trigonometry: Illustration 00.02.32

19. Heights and Distances: Illustration 00.02.16

20. Application of Trigonometry (Height of Windmill) 00.05.01

21. Application of Trigonometry (Height of Balloon) 00.03.41

22. Application of Trigonometry (Height of Tower) 00.06.10

23. Typical Problem on Heights and Distances 00.03.43

Page 27

Mathematics

Topic Name Duration

Unit 13: Coordinate Geometry

1. Coordinate geometry 00.01.56

2. Coordinate system in R¹ 00.04.07

3. Coordinate system in R² 00.01.46

4. Linear Equations in Two Variables: Graphical Representation

00.03.14

5. The Slope of a Straight Line 00.04.49

6. Slopes of Lines: Illustrations 00.01.23

7. Condition for Parallelism of Two Lines 00.01.18

8. Slope Intercept Form of a Straight Line 00.04.10

9. Equation of a Straight Line: Point-Slope Form and Two- Point Form

00.05.45

10. Derivation of Distance Formula 2-D 00.03.53

11. Application of Distance Formula in 2-D 00.03.18

12. Distance function in R¹ 00.03.05

13. Distance between Two Points: Some Illustrations 00.03.19

14. Division of a Line Segment 00.05.52

15. Section Formula 00.00.00

16. Section Formula 00.02.37

17. Midpoint of a Line Segment: Illustration 00.01.40

18. Centroid of a Triangle 00.01.54

19. Circumcentre of a Triangle 00.02.59

20. Incentre of a Triangle 00.02.55

Page 28

Mathematics

Topic Name Duration

Unit 14: Circle-Chord properties

1. Parts of a Circle 00.00.00

2. Equal Chords and Their Distances from the Centre 00.00.00

3. Bisector of a Chord from the Centre of a Circle 00.03.59

4. The Perpendicular from the Centre of a Circle to a Chord

00.02.59

5. Chords Equidistant from the centre: Theorem 00.06.32

6. Congruent Chords and their Distances from the Centre: Theorem

00.07.23

7. Congruent and Parallel Chords of a Circle: Illustration 00.03.29

8. Perpendicular Bisector of a Chord of a Circle 00.01.21

9. Segments of a chord 00.00.56

10. Arcs and Chords of a Circle: Illustration 00.01.29

11. Perpendicular Distance of a Chord from the Centre: Illustration

00.01.38

12. Segment of a Circle 00.02.38

13. Angles in the Same Segment of a Circle: Illustration 00.01.41

14. Angles in the same segment of a circle 00.00.00

15. Angle Subtended by a Chord at the Centre 00.00.00

16. Concentric Circles: Chord of the Larger circle, which Touches the Smaller Circle

00.01.03

17. Finding Length of the Chord: Illustration 00.02.56

Page 29

Mathematics

Topic Name Duration

18. Theorems on Segments of a Chord 00.02.43

19. Angles Made by a Chord with a Tangent and in the Alternate Segments

00.02.52

Unit 15: Circles-Tangent properties,

1. Tangent to a Circle 00.01.54

2. Tangent Perpendicular to the Radius Through the Point of Contact

00.03.04

3. Tangent Perpendicular to the Radius at the Point of Contact: Illustration

00.01.30

4. Secants, Tangents and Angle Measures 00.00.00

5. Tangent to the Circle: Theorem 00.04.16

6. Tangent 00.00.00

7. Construction: Tangents to a Circle from a Point Exterior to the Circle

00.04.08

8. Construction: Tangents through an external point 00.00.00

9. Tangents drawn from an external point 00.00.00

10. Two circles touching each other 00.03.14

11. Tangents to Circles 00.04.31

12. Construction: Direct Common Tangent 00.03.45

13. Construction: Indirect or Transverse Common Tangents 00.04.46

Page 30

Mathematics

Topic Name Duration

Unit 16: Mensuration

1. Application of Mensuration - Cylinder 00.03.13

2. Surface Area of a Cylinder 00.04.18

3. Surface Area of a Cylinder 00.01.05

4. Surface Area of a Hollow Object: Cylinder 00.04.24

5. Surface Area of a Cylinder: Practical problems 00.01.56

6. Surface Area of a Cylinder 00.00.00

7. Surface area of a cylinder: Illustrations 00.01.47

8. Surface area of a cylinder: Examples 00.02.20

9. Volume of a Cylinder 00.00.00

10. Surface area of a cylinder: Practical problems 00.06.33

11. Volume of a Cylinder 00.04.25

12. Volume of a Cylinder: Introduction 00.03.59

13. Volume of Hollow objects: Cylinder and Sphere 00.05.20

14. Practical problems involving volumes of cylinders 00.02.27

15. Practical problems involving volume of a cylinder (ii) 00.03.49

16. Volume of Cylinder: Example 00.02.09

17. Compare the Volumes of Two Cylinders 00.02.00

18. Surface Area of a Cone 00.04.18

19. Curved Surface Area of a Cone 00.02.30

20. Surface Area of a Cone : Illustrations 00.01.24

21. Surface Area of a Cone 00.00.00

22. Volume of a Cone 00.03.03

Page 31

Mathematics

Topic Name Duration

23. Volume of a Cone: Illustrations 00.03.40

24. Volume of a Frustum 00.03.49

25. Volume of a Cone 00.00.00

26. Volume of a Right Circular Cone and a Sphere 00.00.40

27. Frustum of a cone 00.00.00

28. Surface Area of a Sphere 00.04.19

29. Surface Area of a Hemisphere 00.01.54

30. Volume of a Sphere 00.02.52

31. Surface area of a Sphere 00.00.00

32. Surface Area of Composite Objects: Hemisphere and Cone

00.04.06

33. Surface Area of Composite Objects: Cylinder and Cone 00.04.47

34. Surface Area of Composite Objects: Cylinder and Sphere

00.04.48

Unit 17: Graphs and Polyhedra

1. Euler's Formula 00.00.00

TOTAL TOPICS IN MATHEMATICS – 241 11.28.36

TOTAL TOPICS IN STD X – 540 28.43.35