Find the angle at which the parabolas `y^2=4x` and `x^2=32 y` intersect.

Find the angle between the parabolas y^2=4a x and x^2=4b y at their point of intersection other than the origin.

Find the angle at which the circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect.

The equation to the line touching both the parabolas y^(2)=4x and x^(2)=-32y is

The slope of the line touching the parabolas y^2=4x and x^2=-32y is

Find the angle between the curves 2y^(2)=x^(3) and y^(2)=32x

Prove that the tangents drawn on the parabola y^(2)=4ax at points x = a intersect at right angle.

Find the angle of intersection of y^2=4x and x^2=4y