Question

If relation $R$ defined on the set $A=\{1,2,3,4,5\}$ by $R=\left\{(x, y):\left|x^{2}-y^{2}\right|<16\right\}$ then $R$ is

• A. $ 1, 1, 2, 1, 3, 1, 4, 1, 2, 3$
• B. $2, 2, 3, 2, 4, 2, 2, 4$
• C. $ 3, 3, 3, 4, 5, 4, 4, 3, 3, 1$
• D. None of these

Answer 1

Answer: (D)

Here $R = x , y :| x 2- y 2|<16$
and given $A=1,2,3,4,5$
$\therefore R =1,1,1,2,1,3,1,4,2,1,2,2,2,3,2,4,3,1,$
$3,2,3,3,3,4,4,1,4,2,4,3,4,44,5,5,4$
$5,5$