you are here->home->Mathematics

Mathematics

Class 12

Angle in a semi-circle

Distributive vector multiplication

Maximal area in rectangles with same perimeter

Maximal area in rectangles with same perimeter

Function that is not one-one but is onto

Function that is not one-one but is onto

Limits

Rolle's Theorem

Angle between two planes

Geometry: Graph of sin⁻¹x

To demonstrate a function which is one-one but not onto.

To demonstrate a function which is one-one but not onto.

Class 11

Set theoretic operations using Venn diagrams

Set theoretic operations using Venn diagrams

Set Theory: A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)

Set Theory: A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)

Relation and Function

Sum of squares of first n-natural numbers

Sum of squares of first n-natural numbers

Sample space, when a die is rolled

Conic sections

Linear Inequalities

The geometrical significance of derivative

The geometrical significance of derivative

To find the values of sine and cosine functions

To find the values of sine and cosine functions

Class 9

To verify experimentally that in a triangle, the longer side has the greater angle opposite to it.

To verify experimentally that in a triangle, the longer side has the greater angle opposite to it.

Angle properties of intersecting lines

Parallelograms on the same base between same parallels are equal in area

Parallelograms on the same base between same parallels are equal in area

Constructing a square-root spiral

Verifying the parallelogram-triangle area ratio on the same base and parallels

Verifying the parallelogram-triangle area ratio on the same base and parallels

Sum of the angles of a quadrilateral is 360°

Sum of the angles of a quadrilateral is 360°

Volume of a cuboid

Similarity of two triangles

Frustum of a cone

Factorization of polynomial 2x² +4x

Cuboid and its total surface area

Cube and its surface area

Congruency of triangles

Algebraic Identity (a+b+c)²

Algebraic Identity (a - b)²

Algebraic Identity (a³ - b³)

Algebraic Identity (a³+b³)

Form a cone and find its curved surface area

Form a cone and find its curved surface area

Angle sum property of triangle

Algebraic Identity (a + b)³

Algebraic Identity (a-b)³

Exterior angle property of a triangle

Area of a triangles - same base and same parallels

Area of a triangles - same base and same parallels

Cyclic quadrilateral property

Factorization of polynomial x²+4x+3

Least common multiple

Properties of parallelogram

Area of circle

Solving simultaneous equations

The quadrilateral formed by the mid-points of a quadrilateral

The quadrilateral formed by the mid-points of a quadrilateral

Incentre of a triangle

Circumcentre of a triangle

Centroid of a triangle

Area of trapezium

Mid-point theorem

Area of triangle

Area of parallelogram

Area of rhombus

Class 7

Addition of algebraic expression

To subtract a polynomial from another polynomial

To subtract a polynomial from another polynomial

To obtain angle bisector of an angle by paper folding

To obtain angle bisector of an angle by paper folding

To verify that vertically opposite angles are equal

To verify that vertically opposite angles are equal

To verify that when two lines intersect, vertically opposite angles are equal

To verify that when two lines intersect, vertically opposite angles are equal

To verify that in an isoceles triangle, angles opposite equal sides are equal

To verify that in an isoceles triangle, angles opposite equal sides are equal

To verify that the sum of any two sides of a triangle is always greater than the third side

To verify that the sum of any two sides of a triangle is always greater than the third side

To verify that in a triangle sides opposite equal angles are equal

To verify that in a triangle sides opposite equal angles are equal