Author: er.ashu2011

Ch-1 Relations and Functions DPP02 Q 1.     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:  (i) R = {(x,y) : x and y work at the same place } (ii) R = {(x, y): …

Ch-1 Relations and Functions DPP01 Q 1.     Three relations R1, R2 and R3 are defined on set A = {a, b, c} as follows :             (i) R1 = {(a, a), (a, b), (a, c), (b, b), (b, c), (c, a), (c, b), (c, c)}             (ii) R2 = {(a, a), (b, a), (a, c), …

TOPIC WISE DPPDPP-O1 1. In each of the following systems of equations determine whether the system has a unique solution, no solution or infinitely many solutions. (i) 2x + 3y = 7                         (ii) 6x + 5y = 11                      (iii) -3x + 4y = 5 6x + 5y = 11                               9x +y = …

Class 11 Maths Chapter 1 Sets JEE Main PYQ SETS(JEE MAIN PYQ) Q1.In a class of 140 students numbered 1 to 140, all even numbered students opted Mathematics course, those whose number is divisible by 3 opted Physics course and those whose number is divisible by 5 opted Chemistry course. Then the number of students …

EXAMPLE 1 Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q + 1, where q is some integer. [NCERT] EXAMPLE 2 Show that any positive integer is of the form 3q or, 3q + 1 or, 3q + 2 for some integer …