Question

Let be a binary operation on Z defined by x y = x2 + y2 + xy; x, y ∈ Z. The value of [(1 * 2) + (0 * 3)]2 is

(A) 16

(B) 19

(C) 361

(D) 256

Answer 1

Correct Option :-(A) 16

Explanation :-

1 * 2 = 1 + 4 + 2 = 7

0 * 3 = 0 + 9 + 0 = 9

(1 2) + (0 3) = 16