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
RD Sharma Chapter 3: Pairs of Linear Equations in Two Variables Exercise 3.7 Solutions The sum of two numbers is 8 . If their sum is four times their difference, find the number. Watch Solution The sum of digits of a two digit number is 13 . If the number is subtracted from the one obtained
RD Sharma Chapter 3: Pairs of Linear Equations in Two Variables Exercise 3.6 Solutions 5 pens and 6 pencils together cost Rs 9 and 3 pens and 2 pencils cost Rs 5 Find the cost of 1 pen and 1 pencil. Watch Solution 7 audio cassettes and 3 video cassettes cost Rs 1110, while 5 audio