Class 12 CBSE Maths Board Questions Chapter Relations and Functions

Class 12 Maths CBSE Relation & Function Board Questions

Here we provide Class 12 maths important notes,board questions and predicted questions with Answers for chapter Relation & Function. These important notes,board questions and predicted questions are based on CBSE board curriculum and correspond to the most recent Class 12 maths syllabus. By practising these Class 12 materials, students will be able to quickly review all of the ideas covered in the chapter and prepare for the Class 12 Board examinations.

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Board Questions

Important Notes

Relation & Function Board Questions

2016

Q1 Let f : N → N be a function defined as f(x) = 9x² + 6x - 5. Show that f : N → S, where S is the range of f , is invertible. Find the inverse of f and hence find f^-1(43) and f^-1(163).

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2017

Q2 Consider f : R - {4/3} → R - {4/3} given by f(x) = (4x + 3)/(3x + 4) . Show that f is bijective. Find the inverse of f and hence find f^-1(0) and x such that f^-1(x) = 2
OR
Let A = Q x Q and let * be a binary operation on A defined by (a, b) * (c, d) = (ac, b + ad) for (a, b), (c, d) a A. Determine, whether * is commutative and associative. Then, with respect to * on A
(i) Find the identity element in A.
(ii) Find the invertible elements of A.

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2018

Q3 Show that the relation R on R defined as R = {(a, b) : a ≤ b}, is reflexive and transitive but not symmetric.

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Q4 Examine whether the operation * defined on R by a * b = ab + 1 is (i) a binary or not. (ii) if a binary operation, is it associative or not ?

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