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

Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

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

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

answer is 1.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Let R be a relation containing (1, 2) and (1, 3)

R is reflexive, if (1, 1), (2, 2), (3, 3) $\in$ R.

Relation R is symmetric, if (2, 1) $\in$ R and (3, 1) $\in$ R.

But relation R is not transitive as (3,1 ), (1,2) $\in$ R but (3,2) $\notin$ R.

Now, if we add the pair (3, 2) and (2, 3) to relation R, then relation R will become transitive.

Hence, the total number of desired relations is one.

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE