Find the angle which the common chord of `x^2+y^2-4y=0` and `x^2+y^2=16` subtends at 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.

Find the common area of x^2=y and y^2 =x .

Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and x^2+y^2-4x-2y-6=0

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

The length of the common chord of the two circles x^2+y^2-4y=0 and x^2+y^2-8x-4y+11=0 is

Find the length of the chord x^2+y^2-4y=0 along the line x+y=1. Also find the angle that the chord subtends at the circumference of the larger segment.

Find the locus of the midpoint of the chords of the circle x^2+y^2=a^2 which subtend a right angle at the point (0,0)dot

If 2 x-3 y=0 is the equation of the common chord of the circles, x^2+y^2+4 x=0 and x^2+y^2+2 lambda y=0 , then the value of lambda is

Find the equation of the chord of the hyperbola 25 x^2-16 y^2=400 which is bisected at the point (5, 3).

Find the length of the common chord of the parabola y^2=4(x+3) and the circle x^2+y^2+4x=0 .