Rewrite each of the following statements in the form ‘p if and only if q’
(i) p : If you watch television, then your mind is free and if your mind is free, then you watch television
(ii) q : For you to get an A grade, it is necessary and sufficient that you do all the homework regularly
(iii) r : If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular

Solution:

Let us write the given statements in the form "p if and only if q".

(i) You watch television if and only if your mind is free.

(ii) You get an A grade if and only if you do all the homework regularly.

(iii) A quadrilateral is equiangular if and only if it is a rectangle

NCERT Solutions Class 11 Maths Chapter 14 Exercise ME Question 4

Rewrite each of the following statements in the form ‘p if and only if q’. (i) p : If you watch television, then your mind is free and if your mind is free, then you watch television. (ii) q : For you to get an A grade, it is necessary and sufficient that you do all the homework regularly. (iii) r : If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular

Summary:

Rewriting the givem statements in the form "p if and only if q"

(i) You watch television if and only if your mind is free
(ii) You get an A grade if and only if you do all the homework regularly
(iii) A quadrilateral is equiangular if and only if it is a rectangle