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`

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

The chord of contact of (2,1) w.r.t the parabola x^(2) = y is

The polar of (-2,3) w.r.t the parabola y^(2)=4x is

Find the locus of point whose chord of contact w.r.t. to the parabola y^(2) = 4bx is the tangent of the parabola y^(2) = 4ax .

If the chord of contact of tangents from a point P to the parabola y^2=4a x touches the parabola x^2=4b y , then find the locus of Pdot

If the chord of contact of tangents from a point P to the parabola y^2=4a x touches the parabola x^2=4b y , then find the locus of Pdot

If the chord of contact of tangents from a point P to the parabola y^2=4a x touches the parabola x^2=4b y , then find the locus of Pdot

Point of contact of the line kx+y-4=0 w.r.t the parabola y=x-x^2

From a point on the axis of x common tangents are drawn to the parabola y^(2)=4x and the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1(agtbgt0) . If these tangents from an equilateral trianlge with their chord of contact w.r.t parabola, then set of exhaustive values of a is