Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
COMEDK2021MathematicsFunctions

If A= 1,2,5,6 and B= 1,2,3 , then (A B) (B A) is equal to

Options

  1. A(1,1),(2,1),(6,1),(3,2)
  2. B(1,1),(1,2),(2,1),(2,2)
  3. C(1,1),(2,2)
  4. D(1,1),(1,2),(2,5),(2,6)

Correct answer

B. (1,1),(1,2),(2,1),(2,2)

Step-by-step solution

Given sets A = 1, 2, 5, 6 and B = 1, 2, 3 . The Cartesian product A B consists of all ordered pairs (a, b) where a A and b B . The Cartesian product B A consists of all ordered pairs (b, a) where b B and a A . The intersection (A B) (B A) consists of all ordered pairs (x, y) such that (x, y) A B and (x, y) B A . This implies x A and x B , and y B and y A . Therefore, x A B and y A B . Calculating the intersection of the sets: A B = 1, 2, 5, 6 1, 2, 3 = 1, 2 . Thus, the intersection (A B) (B A) is (A B) (A B) = 1, 2

Practice Functions on Quantrex Academy →

More from Functions

If f : R A , defined by f ( x )= x + 3 x -1 , is an onto function then A = 2025Let g(x)=1+x-[x] and f(x)= cases -1, & x 0 cases ([x] ) denotes the greatest integer less than or equal to (x ). Then for all x , f ( g ( x ))= 2025The domain of the real valued function f(x)= 3 4-x^2 + ₁₀ (x^3-x ) is 2025A real valued function f: A B defined by f(x)= 4-x^2 4+x^2 x A is a bijection. If -4 A then A B= 2025Let [ x ] represent the greatest integer less than or equal to x , x = x -[ x ] , 2 =1.414 and 3 =1.732 . If f(x)= x+ [ x 1+x^2 ] is a real valued function, then f ( 2 )+ f (- 3 )= 2025If the range of the function f(x)=-3 x-3 is 3,-6,-9,-18 , then which one of the following is not in the domain of f ? 2025The domain of the function f(x)= _e ( 1 x^2-4 x+4 ) + ⁻¹ (x^2-2 ) is 2025Consider the following statements Statement-I : A function f : A B is said to be one-one if and only if f(x) f(y) x y Statement-II : A relation f: A B is said to be a function if x 2025 Full Functions list All COMEDK PYQs