Relations and Functions — practice questions
12 curated practice questions from Relations and Functions (Mathematics Class 12, CBSE) — 6 medium, 4 hard, 2 easy. Every question includes the final answer free; step-by-step worked solutions with a free account.
- Prove that every identity relation is an equivalence relation but converse is not necessarily true.
- The function f : [ 4 , 5 4 ] [-1, 1] defined as f(x) = x + x 2 is:
- If f : (0, ) R be a function defined by f(x) = x^2 - 8 x . Determine whether f(x) is bijective function. Show your…
- The number of one-one maps from a, b, c to 1, 2, 3, 4, 5, 6, 7 such that a maps to 2 , is:
- Assertion (A): A function f : (0, 2) [2, 14] defined by f(x) = 3x^2 + 2 is bijective. Reason (R): A function f : X Y is…
- Match the correct pairs. a) A–P; B–R; C–Q; D–S b) A–P; B–Q; C–R; D–T c) A–Q; B–R; C–S; D–T d) A–T; B–S; C–R; D–Q
- Find the maximum number of equivalence relations on the set A = 1, 2, 3 .
- Find the number of surjective functions from the set A = a, b, c, d to the set B = x, y .
- The function f : R [0, 1) defined as f(x) = x - [x] , where [ ] denotes greatest integer function, is:
- Which of the following is correct about a relation R on the set of natural numbers N ?
- Assertion (A): The relation R defined on a set 5, 7, 9, 11, 13 as R = (a, b) : when a + b is divided by 3 leaves…
- Let A R , and relation R' on A A defined as R' = ((a_1, a_2), (b_1, b_2)) : a_1 b_2 = a_2 b_1 . Check whether R' is an…