Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
KCET2022MathematicsSets and Relations

Let the relation R is defined in N by a R b , if 3 a+2 b=27 then R is

Options

  1. A(1,12)(3,9)(5,6)(7,3)
  2. B(0, 27 2 )(1,12)(3,9)(5,6)(7,3)
  3. C(1,12)(3,9)(5,6)(7,3)(9,0)
  4. D(2,1)(9,3)(6,5)(3,7)

Correct answer

A. (1,12)(3,9)(5,6)(7,3)

Step-by-step solution

Given relation is 3 a+2 b=27 , where a, b N aligned & 3 a+2 b=27 & b= 27-3 a 2 & a=1 b= 27-3 2 = 24 2 =12 & a=3 b= 27-9 2 = 18 2 =9 & a=5 b= 27-15 2 = 12 2 =6 & a=7 b= 27-21 2 = 6 2 =3 aligned Hence, we can see that all the elements of option (a) satisfies the given relation. Hence, option (a) is correct.

Practice Sets and Relations on Quantrex Academy →

More from Sets and Relations

Let A and B be two subsets of = 1, 2, 3, -------, 44, 45 such that A = x: x is divisible by 3 and 4 B = x: x is a perfect square number Then n(B - A) equals 2026Given the sets A = 1,2,3 ; B = 2,3,5 and C = 4,5,6 identify Which of the following statements is incorrect . 2026If A = x : x is the first three odd numbers B = 2x + 3 : 0 x true 2026The set expression A (B (A' B')) is equivalent to 2026Let C be the set of all the circles in a plane. If R = (C₁, C₂) C C C₁ and C₂ intersect , then which of the following statements is TRUE? 2026If A = a, b, c, d, e, f , then the number of subsets of A which contains at least 2 elements is 2026If A = 1, 2, 3, 4, , 10 , then the number of non-empty subsets of A containing only even number is 2026If n(A) = 2 and the number of relations from set A to set B is 1024 , then n(B) is 2026 Full Sets and Relations list All KCET PYQs