10th Standard Mathematics

D.Vasu Raj, Dec 23, 2018

This work book is created for X standard Tamil Nadu State board Students to enhance their learning

Table of Contents

  1. Relation and Functions_X
    1. Functions_Identification
    2. Composition of functions
  2. Algebra_X
    1. Synthetic Division
    2. Remainder Theorem
    3. Quotient-Remainder_relation
    4. Nature of Quadratic Equation
    5. Simultaneous Equations
    6. Matrices Basic operations
  3. Numbers and Sequences_X
    1. Euclid's Lemma_Division
    2. Euclid's Lemma_GCD
    3. Addition Modulo
    4. Multiplication Modulo
    5. Bouncing Ball problem
    6. Sequence_Triangle
    7. Tower of Hanoi_ Game
  4. Geometry_X
    1. Angular Bisector Theorem
    2. Pair of Tangents
    3. Basic Proportionality Theorem
    4. Application of Basic proportionality theorem
    5. Alternate Segment Theorem
    6. Similar Triangles
    7. Congruence Triangle
    8. Ceva's Theorem
    9. Menelaus's theorem
  5. Geometry Construction
    1. Pair of Tangents
    2. Construction: Similar Triangles
  6. Co-Ordinate Geometry_X
    1. Slope_ Equation of a Straight Line
    2. Equation of a Straight line-II
    3. Area of a Quadrilateral
  7. Trigonometry_X
    1. Basic Identity
    2. Heights and distance problem-1
    3. Heights and distance problem-2
    4. Heights and distance problem-3
  8. Mensuration_X
    1. Cone_Cylinder Relation
    2. Cylinder Cone Combined
    3. Cylinder Hemisphere Combined
    4. Sphere Melted as Cylinder
  9. Probability_X
    1. Probability Addition law
    2. Addition law (Mutually Exclusive)
  10. Pythagoras Theorem
    1. Pythagoras Theorem_1
    2. Pythagoras Theorem-2
    3. Pythagoras Theorem-3

1.

Relation and Functions_X

  • 1. Functions_Identification
  • 2. Composition of functions

1.1.

Functions_Identification

Functions_Identification
– D.Vasu Raj

1.2.

–

2.

Algebra_X

  • 1. Synthetic Division
  • 2. Remainder Theorem
  • 3. Quotient-Remainder_relation
  • 4. Nature of Quadratic Equation
  • 5. Simultaneous Equations
  • 6. Matrices Basic operations

2.1.

Synthetic Division

– D.Vasu Raj

2.2.

–

2.3.

–

2.4.

–

2.5.

–

2.6.

–

3.

Numbers and Sequences_X

  • 1. Euclid's Lemma_Division
  • 2. Euclid's Lemma_GCD
  • 3. Addition Modulo
  • 4. Multiplication Modulo
  • 5. Bouncing Ball problem
  • 6. Sequence_Triangle
  • 7. Tower of Hanoi_ Game

3.1.

Euclid's Lemma_Division

– D.Vasu Raj

3.2.

–

3.3.

–

3.4.

–

3.5.

–

3.6.

–

3.7.

–

4.

Geometry_X

  • 1. Angular Bisector Theorem
  • 2. Pair of Tangents
  • 3. Basic Proportionality Theorem
  • 4. Application of Basic proportionality theorem
  • 5. Alternate Segment Theorem
  • 6. Similar Triangles
  • 7. Congruence Triangle
  • 8. Ceva's Theorem
  • 9. Menelaus's theorem

4.1.

Angular Bisector Theorem

– D.Vasu Raj

4.2.

–

4.3.

–

4.4.

–

4.5.

–

4.6.

–

4.7.

–

4.8.

–

4.9.

–

5.

Geometry Construction

  • 1. Pair of Tangents
  • 2. Construction: Similar Triangles

5.1.

– D.Vasu Raj

5.2.

–

6.

Co-Ordinate Geometry_X

  • 1. Slope_ Equation of a Straight Line
  • 2. Equation of a Straight line-II
  • 3. Area of a Quadrilateral

6.1.

Slope_ Equation of a Straight Line

– D.Vasu Raj

6.2.

–

6.3.

–

7.

Trigonometry_X

  • 1. Basic Identity
  • 2. Heights and distance problem-1
  • 3. Heights and distance problem-2
  • 4. Heights and distance problem-3

7.1.

Basic Identity

– D.Vasu Raj

7.2.

–

7.3.

–

7.4.

–

8.

Mensuration_X

  • 1. Cone_Cylinder Relation
  • 2. Cylinder Cone Combined
  • 3. Cylinder Hemisphere Combined
  • 4. Sphere Melted as Cylinder

8.1.

Cone_Cylinder Relation

– D.Vasu Raj

8.2.

–

8.3.

–

8.4.

–

9.

Probability_X

  • 1. Probability Addition law
  • 2. Addition law (Mutually Exclusive)

9.1.

Probability Addition law

For any two Events A and B
– D.Vasu Raj

9.2.

–

10.

Pythagoras Theorem

  • 1. Pythagoras Theorem_1
  • 2. Pythagoras Theorem-2
  • 3. Pythagoras Theorem-3

10.1.

Pythagoras Theorem_1

– D.Vasu Raj

10.2.

–

10.3.

–

Information