Relations and Functions — Class 12 Maths Solution

ncert misc SA NCERT Misc.,Q.16, Page 30
Question

Let A $= \{1, 2, 3\}$. Then number of relations containing (1, 2) and (1, 3), which are reflexive and symmetric but not transitive is

(A) 1

(B) 2

(C) 3

(D) 4

Step-by-step Solution

Option A is correct

There is only one relation containing (1, 2) and (1, 3) which is reflexive and symmetric but not transitive.

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NCERT & Exemplar solution for CBSE Class 12 Mathematics, Relations and Functions. Curated by Sachin Sharma. Free for all students.