Question

Number of solutions of the simultaneous equations |x| + |y| = 3 and sin(πx2/2) = 1 is

(A) 4

(B) 6

(C) 10

(D) 12

Answer 1

Correct option (C) 10

Explanation:

x = ± 1, ± 5 each will intersect the curve at 2 points and

x = ± 3 each will intersect the curve at 1 point and therefore the number of solution will be 10.