The angle of rotation of axes so that `sqrt3x -y +1=0` transformed as `y=k` is (i)`pi/6` (ii)`pi/4` (iii)`pi/3` (iv)`pi/2`

The angle of rotation of the axes so that the equation x+y-6=0 may be reduced the form X = 3 sqrt2 is (i)pi/6 (ii)pi/4 (iii)pi/3 (iv)pi/2

An angle of rotation of axes so that [sqrt(3)x-y+1=0 is transformed as Y=K_(1) is (pi)/(K_(2) then (K_(2))/(K_(1))= where K_(1) in Q, K_(2) in N

The angle of intersection of the curves y=2\ s in^2x and y=cos2\ x at x=pi/6 is pi//4 (b) pi//2 (c) pi//3 (d) pi//6

The angle of intersection of the curves y=2\ sin^2x and y=cos2\ x at x=pi/6 is (a) pi//4 (b) pi//2 (c) pi//3 (d) pi//6

The area bounded by the curve y^(2)(2-x)=x^(3) and its asymptote is (i)(pi)/(2)(ii)pi (iii) 2 pi(iv)3 pi

The argument of (1+i)/(1-i) is (i) 0 (ii) -(pi)/(2) (iii) (pi)/(2) (iv) pi

The area bounded by the curves x^2+y^2=1,x^2+y^2=4 and the pair of lines sqrt3 x^2+sqrt3 y^2=4xy , in the first quadrant is (1) pi/2 (2) pi/6 (3) pi/4 (4) pi/3

The area bounded by the curves x^2+y^2=1,x^2+y^2=4 and the pair of lines sqrt3 x^2+sqrt3 y^2=4xy , in the first quadrant is (1) pi/2 (2) pi/6 (3) pi/4 (4) pi/3

The area bounded by the curves x^2+y^2=1,x^2+y^2=4 and the pair of lines sqrt3 x^2+sqrt3 y^2=4xy , in the first quadrant is (1) pi/2 (2) pi/6 (3) pi/4 (4) pi/3

If 0 <= x <= pi, then the solution of the equation 16^(sin^2) x + 16 ^(cos^2) x = 10 is given by x equal to (i) pi/6,pi/3 (ii) pi/3,pi/2 (iii) pi/6,pi/2 (iv) none of these