CBSE Class 11th Maths, NCERT & R.D Sharma Solutions & Sample Papers

Circle A circle is the set of all points in a plane, which are at a fixed distance from a fixed point in the plane. The fixed point is called the centre of the circle and the distance from centre to any point on the circle is called the radius of the circle. The equation […]

Distance Formula The distance between two points A(x1, y1) and B (x2, y2) is given by The distance of a point A(x, y) from the origin 0 (0, 0) is given by OA =  Section Formula The coordinates of the point which divides the joint of (x1, y1) and (x2, y2) in the ratio m […]

Sequence A succession of numbers arranged in a definite order according to a given certain rule is called sequence. A sequence is either finite or infinite depending upon the number of terms in a sequence. Series If a1, a2, a3,…… an is a sequence, then the expression a1 + a2 + a3 + a4 + … + an is called series. […]

Binomial Expression An expression consisting of two terms, connected by + or – sign is called binomial expression. Binomial Theorem If a and b are real numbers and n is a positive integer, then The general term of (r + 1)th term in the expression is given by Tr+1 = nCr an-r br Some Important Observations from the Binomial Theorem […]

Fundamental Principles of Counting Multiplication Principle: Suppose an operation A can be performed in m ways and associated with each way of performing of A, another operation B can be performed in n ways, then total number of performance of two operations in the given order is mxn ways. This can be extended to any […]

Inequation A statement involving variables and the sign of inequality viz. >, <, ≥ or ≤ is called an inequation or an inequality. Numerical Inequalities Inequalities which do not contain any variable is called numerical inequalities, e.g. 3 < 7, 2 ≥ -1, etc. Literal Inequalities Inequalities which contains variables are called literal inequalities e.g. […]

Imaginary Numbers The square root of a negative real number is called an imaginary number, e.g. √-2, √-5 etc. The quantity √-1 is an imaginary unit and it is denoted by ‘i’ called Iota. Integral Power of IOTA (i) i = √-1, i2 = -1, i3 = -i, i4 = 1 So, i4n+1 = i, i4n+2 = -1, i4n+3 = -i, […]

Principle of Mathematical Induction Mathematical induction is one of the techniques, which can be used to prove a variety of mathematical statements which are formulated in terms of n, where n is a positive integer. Let P(n) be given statement involving the natural number n such that (i) The statement is true for n = […]

Angle Angle is a measure of rotation of a given ray about its initial point. The original ray is called the initial side and the final position of ray after rotation is called terminal side of the angle. The point of rotation is called vertex. If the direction of rotation is anti-clockwise, the angle is […]

Ordered Pair An ordered pair consists of two objects or elements in a given fixed order. Equality of Two Ordered Pairs Two ordered pairs (a, b) and (c, d) are equal if a = c and b = d. Cartesian Product of Two Sets For any two non-empty sets A and B, the set of […]

Set A set is a well-defined collection of objects. Representation of Sets There are two methods of representing a set Roster or Tabular form In the roster form, we list all the members of the set within braces { } and separate by commas. Set-builder form In the set-builder form, we list the property or […]

Chapter 1 – Sets  Chapter 2 – Relations and Functions  Chapter 3 – Trigonometric Functions  Chapter 4 – Principle of Mathematical Induction  Chapter 5 – Complex Numbers and Quadratic Equations  Chapter 6 – Linear Inequalities  Chapter 7 – Permutations and Combinations   Chapter 8 – Binomial Theorem  Chapter 9 – Sequences and Series  Chapter 10 – […]

Sets   Relations And Functions   Trigonometric Functions   Principle Of Mathematical Induction   Complex Numbers And Quadratic Equations   Linear Inequalities   Permutations and Combinations   Binomial Theorem   Sequence and Series   Straight Lines   Conic Sections   Introduction To Three Dimensional Geometry   Limits and Derivatives   Mathematical Reasoning   Statistics   […]