RD Sharma Chapter 2 : Functions Exercise 2.1 Solutions (Step-by-Step Guide) Give an example of a function (i) Which is one – one but not onto. Watch Solution Give an example of a function (ii) Which is not one – one but onto. Watch Solution Give an example of a function (iii) Which is neither […]

RD Sharma Chapter 1: Relations Multiple Choice Questions (MCQs) Solutions Let R be a relation on the set N given by R = {a, b) : a = b – 2, b greater than 6}. Then (a) (2, 4) ∈ R (b) (3,8) ∈ R (c) (6, 8) ∈ R (d) (8,7) ∈ R Watch Solution

RD Sharma Chapter 1 : Relation Very Shorts Question Answer (VSAQs) Solutions Write the domain of the relation R defined on the set Z of integers as follows: (a, b) ϵ R ⟺ a^2 + b^2 = 25 Watch Solution If R = {( x ,y): x^2 + y^2 ≤ 4; x ,y ϵ Z} is

RD Sharma Chapter 1 : Relation Exercise 1.2 Solutions Show that the relation R defined by R = {(a, b): a – b is divisible by 3; a, b ∈ Z} is an equivalence relation. Watch Solution Show that the relation R on the set Z of integers, given by R = {(a, b) :

RD Sharma Chapter 1 : Relation Exercise 1.1 Solutions Let A be the set of all human beings in a town at a particular time. Determine whether each of the following relations are reflexive, symmetric and transitive: R = {(x, y) : x and y work at the same place} Watch Solution Let A be the

RD Sharma Chapter 3: Pairs of Linear Equations in Two Variables Multiple Choice Questions (MCQs) Solutions The value of k for which the system of equations kx-y=2 and 6x-2y = 3 has a unique solution is (a) = 3 (b) ≠ 3 (c) ≠ 0 (d) = 0 Watch Solution The value of k for which

RD Sharma Chapter 3: Pairs of Linear Equations in Two Variables Exercise 3.11 Solutions If in a rectangle, the length is increased and breadth reduced each by 2 units, the area is reduced by 28 square units. If, however the length is reduced by 1 unit and the breadth increased by 2 units, the area

RD Sharma Chapter 3: Pairs of Linear Equations in Two Variables Exercise 3.10 Solutions Points A and B are 70 km a part on a highway. A car starts from A and another car starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards

RD Sharma Chapter 3: Pairs of Linear Equations in Two Variables Exercise 3.9 Solutions A father is three times as old as his son. After twelve years, his age will be twice as that of his son then. Find their present ages. Watch Solution Ten years later, A will be twice as old as B and

RD Sharma Chapter 3: Pairs of Linear Equations in Two Variables Exercise 3.8 Solutions The numerator of a fraction is 4 less than the denominator. If the numerator is decreased by 2 and denominator is increased by 1, then the denominator is eight times the numerator. Find the fraction. Watch Solution A fraction becomes 9/11 if