CBSE Class 11 Sample Papers, Syllabus, Test Papers & NCERT Solutions

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 – […]