If cos^{-1} x/2 + x/2 + cos^{-1} y/3 = θ then the value of 9x^{2} - 12xy cosθ + 4y^{2} is equal to N sin^{2 }θ (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} x

(B) cos^{ -1} x

(C) tan ^{-1} x

(D) sec ^{-1}