The number of chords drawn form point (a, a) on the circle `x^(2)+y"^(2)=2a^(2)`, which are bisecte by the parabola `y^(2)=4ax`, is

The number of chords drawn from point (a, a) on the circle x^(2)+y"^(2)=2a^(2) , which are bisected by the parabola y^(2)=4ax , is

If the circle x^(2)+y^(2)+2ax=0, a in R touches the parabola y^(2)=4x , them

Two common tangents to the circle x^(2) + y^(2) = (a^(2))/(2) and the parabola y^(2) = 4ax are

Find the values of a for which three distinct chords drawn from (a ,0) to the ellipse x^2+2y^2=1 are bisected by the parabola y^2=4xdot

Find the area of the quadrilateral formed by common tangents drawn from a point P to the circle x^(2) + y^(2) = 8 and the parabola y^(2) =16x , chord of contact of tangents to the circle and chord of contact of tangents to the parabolas.

Find the equation of that chord of the circle x^2 + y^2 = 15, which is bisected at the point (3,2)

The equation of the chord of the circle x^(2)+y^(2)-6x+8y=0 which is bisected at the point (5, -3), is

The locus of the mid-point of the chords of the hyperbola x^(2)-y^(2)=4 , that touches the parabola y^(2)=8x is

The area of the triangle formed by the tangent drawn at the point (-12,5) on the circle x^(2)+y^(2)=169 with the coordinate axes is

The normal of the circle (x- 2)^(2)+ (y- 1)^(2) =16 which bisects the chord cut off by the line x-2y-3=0 is