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`

The tangent at the point P(x_(1),y_(1)) to the parabola y^(2)=4ax meets the parabola y^(2)=4a(x+b) at Q and R .the coordinates of the mid-point of QR are

A variable tangent to the parabola y^(2)=4ax meets the parabola y^(2)=-4ax P and Q. The locus of the mid-point of PQ, is

if the line 4x+3y+1=0 meets the parabola y^(2)=8x then the mid point of the chord is

If the chord of contact of tangents from a point P to the parabola y^(2)=4ax touches the parabola x^(2)=4by, then find the locus of P.

A tangent to the parabola y^(2)+4bx=0 meet, the parabola y^(2)=4ax in P and Q.Then t locus of midpoint of PQ is.

The length of the chord 4y=3x+8 of the parabola y^(2)=8x is