Q.

Let the relation R on the set M={1,2,3,,16} be given by R={(x,y):4y=5x-3, x,yM}.

Then the minimum number of elements required to be added in R, in order to make the relation symmetric, is equal to         [2026]

1 1  
2 2  
3 4  
4 3  

Ans.

(2)

R = {(3, 3), (7, 8), (11, 13)}

to make it symmetric (8, 7), (13, 11) must be added.