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`

A point P moves such that the chord of contact of the pair of tangents from P on the parabola y^2=4a x touches the rectangular hyperbola x^2-y^2=c^2dot Show that the locus of P is the ellipse (x^2)/(c^2)+(y^2)/((2a)^2)=1.

Find the equation of the tangents from the point (2,-3) to the parabola y^(2)=4x

Find the points of contact Q and R of a tangent from the point P(2,3) on the parabola y^2=4xdot

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

Find the equations of the tangents from the point (2,-3) to the parabola y^(2)=4x .

The point of contact of the tangent 2x+3y+9=0 to the parabola y^(2)=8x is:

If the two tangents drawn from a point P to the parabola y^(2) = 4x are at right angles then the locus of P is

Find the equation of line which is normal to the parabola x^(2)=4y and touches the parabola y^(2)=12x .

If the tangents to the parabola y^2=4a x intersect the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 at Aa n dB , then find the locus of the point of intersection of the tangents at Aa n dBdot