`T P` and `T Q` are tangents to the parabola `y^2=4a x` at `Pa n dQ ,` respectively. If the chord `P Q` passes through the fixed point `(-a ,b),` then find the locus of `Tdot`

T P and T Q are tangents to the parabola y^2=4a x at P and Q , respectively. If the chord P Q passes through the fixed point (-a ,b), then find the locus of Tdot

TP and TQ are tangents to the parabola y^(2)=4ax at P and Q, respectively.If the chord PQ passes through the fixed point (-a,b), then find the locus of T.

TP&TQ are tangents to the parabola,y^(2)=4ax at P and Q. If the chord passes through the point (-a,b) then the locus of T is

P and Q are two distinct points on the parabola, y^2 = 4x with parameters t and t_1 respectively. If the normal at P passes through Q , then the minimum value of t_1 ^2 is

If the normals at P and Q meet again on the parabola y^(2) =4ax then the chord joining P and Q passes thorugh a fixed point

P and Q are two distinct points on the parabola,y^(2)=4x with parameters t and t_(1) respectively.If the normal at P passes through Q, then the minimum value of t_(1)^(2) is

Tangents are drawn from the points on a tangent of the hyperbola x^2-y^2=a^2 to the parabola y^2=4a xdot If all the chords of contact pass through a fixed point Q , prove that the locus of the point Q for different tangents on the hyperbola is an ellipse.

Tangents are drawn from the points on a tangent of the hyperbola x^(2)-y^(2)=a^(2) to the parabola y^(2)=4ax. If all the chords of contact pass through a fixed point Q, prove that the locus of the point Q for different tangents on the hyperbola is an ellipse.

If from a variable point 'P' on the line 2x-y-1=0 pair of tangent's are drawn to the parabola x^(2)=8y then prove that chord of contact passes through a fixed point,also find that point.