In a ` A B C ,/_B=90^0a n db+a=4.` The area of the triangle is maximum when `/_C` is `pi/4` (b) `pi/6` `pi/3` (d) none of these

In the right triangle BAC, angle A=pi/2 and a+b=8 . The area of the triangle is maximum when angle C , is

f(x)=sin+sqrt(3)cosx is maximum when x= pi/3 (b) pi/4 (c) pi/6 (d) 0

If tan^(-1)(cottheta)=2\ theta , then theta= +-pi/3 (b) +-pi/4 (c) +-pi/6 (d) none of these

The area of the region given by x^(2)+y^(2)-6y<=0&y<=x is (9 pi-9)/(4)b(9 pi-18)/(4)c.(3 pi+9)/(4)d .none of these

sin^-1 (sin ((7pi)/6))= (A) (7pi)/6 (B) pi/6 (C) -pi/6 (D) none of these

int_0^pi cos2xlogsinxdx= (A) pi (B) -pi/2 (C) pi/2 (D) none of these

The magnitudes of vectors vec a , vec b and vec c are respectively 1,1 and 2. If vec ax( vec ax vec c)+ vec b= vec0 , then the acute angle between vec a& vec c is pi/3 (b) pi/6 (c) pi/4 (d) None of these

If cot^(-1)(n)/(pi)>(pi)/(6),n in N, then the maximum value of n is 6(b)7 (c) 5 (d) none of these

The value of c in Lagranges theorem for the function f(x)=log sin x in the interval [(pi)/(6),(5 pi)/(6)] is (pi)/(4) (b) (pi)/(2)(2 pi)/(3) (d) none of these

sin^-1 (cos(sin^-1(sqrt(3)/2))= (A) pi/3 (B) pi/6 (C) - pi/6 (D) none of these