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 y=x+2 is normal to the parabola y^2=4a x , then find the value of adot

If focal distance of a point P on the parabola y^(2)=4ax whose abscissa is 5 10, then find the value of a.

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

The locus of the middle points of the focal chords of the parabola, y^2=4x is:

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

Two tangent are drawn from the point (-2,-1) to parabola y^2=4xdot if alpha is the angle between these tangents, then find the value of tanalphadot

If y=2x+3 is a tangent to the parabola y^2=24 x , then find its distance from the parallel normal.

If the tangent at the point P(2,4) to the parabola y^2=8x meets the parabola y^2=8x+5 at Qa n dR , then find the midpoint of chord Q Rdot

If the point P(4, -2) is the one end of the focal chord PQ of the parabola y^(2)=x, then the slope of the tangent at Q, is

If three distinct normals can be drawn to the parabola y^2-2y=4x-9 from the point (2a ,b) , then find the range of the value of adot