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Real Numbers
Divisibility
Euclids divisibility Lemma
Euclids division algorithm
The fundamental theorem of arithmetic
Theorem: if p divides a^2 then p divides a
Applications of fundamental theorem of arithmetic
If p/q is a rational number, then q = 2^m * 5^n
Terminating decimal number
Non-terminating, Non-recurring decimal number
Non-terminating, recurring decimal number
Polynomials
General form of polynomial of degree n
Polynomials | Degree of polynomials | CBSE Class 10 | Maths
Value of a polynomial
Zero of a polynomial
Graph of Polynomials
Correlating graphs of Polynomials and its Zeros
Relationship between zeros and coefficients of a polynomial
Quadratic Polynomial Class 10 ICSE CBSE, Sum and Product of its Zeroes
Division algorithm for Polynomials
Finding quotient and remainder using division algorithm of Polynomials
Pair of Linear equations in two variables
Graphical representation of linear equations
Graphical solution of a pair of linear equations
Conditions for a pair of linear equations to have unique, zero, infinite roots (Graphical Explanation)
Conditions for a pair of linear equations to have unique, zero, infinite roots (Algebraic method)
Method of elimination
Method of substitution
Method of cross multiplication
Real life application of pair of linear equations
Quadratic Equations
Solution of quadratic equation by factorization method
Formula for roots
Sum and Product of roots of quadratic equation
Solution of quadratic equation by completing the square
Discriminant and determining the nature of roots
Application to real life situations
Arithmetic Progressions
Sequences
Arithmetic Progression
General term of an arithmetic progression
Middle term of a finite AP
Sum of n terms of an AP
Co-ordinate Geometry
Cartesian coordinate system
Coordinates of a point in the Cartesian coordinate system
Quadrants and sign of x and y coordinates
Distance between two points
Section Formula
Find section point given section ratio
Find section ratio given section point
Determining the type of a quadrilateral
Finding unknown vertex from other given points of special triangle/quadrilateral
Application of section formula
Area of a triangle/quadrilateral
Collinearity of three points
Triangles
Concept of similarity
Similar triangles and properties, criteria for similarity of triangles
Thales theorem and its converse
Internal and external bisector of an angle of a triangle
Class 10 | Angle Bisector Theorem
Line joining the mid-points of two sides is parallel to the third side
Line drawn from mid-point of one side of a triangle parallel to another side bisects the third side
Diagonals of a trapezium divide each other proportionately and its converse
Any line parallel to the parallel sides of a trapezium divides the non parallel sides proportionately
If three or more parallel lines are intersected by two transversals, the intercepts made by them on the transversals are proportional
Similar triangles theorems on corresponding medians, corresponding angle bisectors, corresponding altitudes, and other theorems
Areas of two similar triangles and theorems
Pythagoras theorem
Circles
Secant and tangent
Tangent from a point on a circle, its length, related theorems
Constructions
Constructions
Trigonometric Ratios and identities
Trigonometric Ratios
Trigonometric ratios of specific angles
Trigonometric ratios of complementary angles
Values of trigonometric ratios in terms of value of one of them
Heights and distances
Angles of elevation and depression
Problems of heights and distances
Areas related to circles
Areas Related To Circles