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