The line tangent to the curves `y^3-x^2y+5y-2x=0` and `x^2-x^3y^2+5x+2y=0` at the origin intersect at an angle `theta` equal to `pi/6` (b) `pi/4` (c) `pi/3` (d) `pi/2`

If the line xcostheta+ysintheta=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 (a) (5pi)/6 (b) (2pi)/3 (c) pi/3 (d) pi/6

The line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0

The angle between the tangents to the parabola y^2=4a x at the points where it intersects with the line x-y-a=0 is (a) pi/3 (b) pi/4 (c) pi (d) pi/2

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 angle subtended by common tangents of two ellipses 4(x-4)^2+25 y^2=100a n d4(x+1)^2+y^2=4 at the origin is (a) pi/3 (b) pi/4 (c) pi/6 (d) pi/2

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

If (sqrt(3))b x+a y=2a b touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , then the eccentric angle of the point of contact is (a) pi/6 (b) pi/4 (c) pi/3 (d) pi/2

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

If A is the area bounded by the curves y=sqrt(1-x^2) and y=x^3-x , then of pi/Adot

If xa n dy are positive acute angles such that (x+y) and (x-y) satisfy the equation tan^2theta-4tantheta+1=0, then x=pi/6 (b) x=pi/4 (c) y=pi/6 (d) y=pi/4