CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/2 · Q191 Marksrelation_properties

CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/2 · Question 19 (Relations And Functions)

Assertion A. On the set of all books in a school library, let R relate books with equal page counts and S relate two books if both are Mathematics books. If R∩S is nonempty, then R∩S is an equivalence relation on all books. Reason R. The intersection of two equivalence relations on a set is an equivalence relation on that set.

(A) Both statements are true and R correctly explains A.
(B) Both statements are true but R does not correctly explain A.
(C) A is true and R is false.
(D) A is false and R is true.

✅ Step-by-Step Solution

Final Answer: A is false and R is true.

The reason is true. The assertion is not guaranteed because S, and thus R∩S, omits the diagonal for any non-Mathematics book. If every library book is a Mathematics book the assertion does hold, so the printed context needs that distinction.

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CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/2 · Question 19 (Relations And Functions)

✅ Step-by-Step Solution

Master Chapter 1: Relations And Functions

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