Then angle of intersection of the normal at the point `(-5/(sqrt(2)),3/(sqrt(2)))` of the curves `x^2-y^2=8` and `9x^2+25 y^2=225` is 0 (b) `pi/2` (c) `pi/3` (d) `pi/4`

The angles at which the circles (x-1)^2+y^2=10a n dx^2+(y-2)^2=5 intersect is pi/6 (b) pi/4 (c) pi/3 (d) pi/2

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

The angle of intersection between the curves, y=x^2 and y^2 = 4x , at the point (0, 0) is (A) pi/2 (B) 0 (C) pi (D) none of these

Area lying in the first quadrant and bounded by the circle x^2+y^2=4 and the lines x= 0 a n dx= 2 is(A) pi (B) pi/2 (C) pi/3 (D) pi/4

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 angle between the lines joining origin to the points of intersection of the line sqrt(3)x+y=2 and the curve y^2-x^2=4 is (A) tan^(-1)(2/(sqrt(3))) (B) pi/6 (C) tan^(-1)((sqrt(3))/2) (D) pi/2

If the line xcostheta=2 is the equation of a transverse common tangent to the circles x^2+y^2=4 and x^2+y^2-6sqrt(3)x-6y+20=0 , then the value of theta is (5pi)/6 (b) (2pi)/3 (c) pi/3 (d) pi/6

The angle between the lines joining the origin to the points of intersection of the line sqrt3x+y=2 and the curve y^(2)-x^(2)=4 is

The point on the curve x^2=2y which is nearest to the point (0, 5) is(A) (2sqrt(2),4) (B) (2sqrt(2),0) (C) (0, 0) (D) (2, 2)

The angle of intersection between the curves x^(2) = 4(y +1) and x^(2) =-4 (y+1) is (a) pi/6 (b) pi/4 (c) 0 (d) pi/2