If (A = \\{ x : x^2 - 3x + 2 = 0 \\}) , and R is a universal... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

If $A = \\{ x : x^2 - 3x + 2 = 0 \\}$ , and R is a universal relation on A, then R is

A

$\\{(1,1) , (2,2)\\}$

B

$\\{(1,1)\\}$

C

$\\{\phi \\}$

D

$\\{(1,1), (1,2) , (2,1), (2,2)\\}$

Answer

$\\{(1,1), (1,2) , (2,1), (2,2)\\}$

Explanation

Solution

$A = \\{1,2\\}$ , as R is universal relation so, $R = A \times A$ R = $\\{(1,1), (1,2) , (2,1), (2,2)\\}$