(i) the number of values of a for which the system has a solution is (a) 1 (b) 2 (c) 3 (d) infinite.

Question

Read the following and then answer the questions.

Consider the system of equations 

sinxcos2y = (a² – 1)² + 1, cosxsin2y = a + 1

(i) the number of values of a for which the system has a solution is

(a) 1

(b) 2

(c) 3

(d) infinite.

(ii) The number of values of x ∈ [0, 2π] when the system has solution for permissible values of a is

(a) 1

(b) 2

(c) 3

(d) 4

(iii) The number of values of y ∈ [0, 2π] when the system has solution for permissible values of a

(a) 2

(b) 3

(c) 4

(d) 5

Answer 1

(i) (a) 1

(ii) (b) 2

(iii) (d) 5