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If cos-1 x/2 + x/2 + cos-1 y/3 = θ then the value of 9x2 - 12xy cosθ + 4y2 is equal to N sinθ (where N is a positive integer) and complete set of values of x for which (cos-1 x)2  (sin -1 x) 2 > 0 is satisfied, is [p, q).

1. Which of the following values lie in [p, q) ?

(A)  N - 3

(B)  N - 4

(C)  N - 5

(D)  N - 6

2. Which of the following functions cannot be defined at x = N - 6 ?

(A)  sin-1

(B)  cos -1

(C)  tan -1

(D)  sec -1 

1 Answer

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Correct option 1. (D) 2.  (D)




2. sec -1 x is not defined at x = 0

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