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 we can draw three real and distinct chords from (alpha,0),a>0 the circle x^(2)+y^(2)=a^(2) which are bisected by the parabola y^(2)=4ax a >0, then

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)=4x

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 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

The number of point of intersection of the circle x^(2)+y^(2)=2ax with the parabola y^(2)=x is

The set of points on the axis of the parabola y^(2)=4ax, from which three distinct normals can be drawn to theparabola y^(2)=4ax, is

Length of the chord of contact drawn from the point (-3,2) to the parabola y^(2)=4x is

Let P be a variable point.From P tangents PQ and PR are drawn to the circle x^(2)+y^(2)=b^(2) if QR always touch the parabola y^(2)=4ax then locus of P is