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.

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

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 tangent to the parabola y^(2)=4ax meets axes at A and B .Then the locus of mid-point of line AB is

If the tangent at the point P(2,4) to the parabola y^(2)=8x meets the parabola y^(2)=8x+5 at Q and R, then find the midpoint of chord QR.

Equation of tangent to parabola y^(2)=4ax

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.

The normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are