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`

The equation of the tangent to the curve y=2 sin x +sin 2x at x=pi/3 is equal to

If the line x cos theta+y sin theta=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 (5 pi)/(6) (b) (2 pi)/(3)( c) (pi)/(3)(d)(pi)/(6)

The angle between the curves (x^(2))/(25)+(y^(2))/(16)=1 and (x^(2))/(9)-(y^(2))/(27)=(1)/(4) at their points of intersections is equal to (A) tan^(-1)(3/5) (B) (pi)/(2) (C) (pi)/(4) (D) 0

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

The number of tangents to the curve y=cos(x+y),-2 pi<=x<=2 pi, that are perpendicular to the line 2x-y=3

Find the angle of intersection of the curves y^2=(2x)/pi and y=sinx at x = pi/2 is .

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