If the length of the chord of circle `x^2+y^2=4` and `y^2=4(x-h)` is maximum, then find the value of `hdot`

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

If the length of the common chord of two circles x^2+y^2+8x+1=0 and x^2+y^2+2muy-1=0 is 2sqrt(6) , then the values of mu are (a) +-2 (b) +-3 (c) +-4 (d) none of these

Find the locus of the midpoint of the chords of circle x^(2)+y^(2)=a^(2) having fixed length l.

If the length of focal chord of y^2=4a x is l , then find the angle between the axis of the parabola and the focal chord.

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

If the distance of the point (alpha,2) from its chord of contact w.r.t. the parabola y^2=4x is 4, then find the value of alphadot

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

The coordinates of the ends of a focal chord of the parabola y^2=4a x are (x_1, y_1) and (x_2, y_2) . Then find the value of x_1x_2+y_1y_2 .

Find the middle point of the chord of the circle x^2+y^2=25 intercepted on the line x-2y=2

If the circle x^2+y^2=1 is completely contained in the circle x^2+y^2+4x+3y+k=0 , then find the values of kdot