A tangent to the parabola `x^(2) = 4ay` meets the hyperbola `x^(2) - y^(2) = a^(2)` in two points P and Q, then mid point of P and Q lies on the curve

If any tangent to the parabola x^(2) = 4y intersects the hyperbola xy = 2 at two points P and Q, then the mid point of line segment PQ lies on a parabola with axis along:

A tangent to the parabolax^2 =4ay meets the hyperbola xy = c^2 in two points P and Q. Then the midpoint of PQ lies on (A) a parabola (C) a hyperbola (B) an ellipse (D) a circle

If any tangent to the parabola x^(2)=4y intersects the hyperbola xy=2 at two points P and Q , then the mid point of the line segment PQ lies on a parabola with axs along

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 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.

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

If tangent at P and Q to the parabola y^(2)=4ax intersect at R then prove that mid point the parabola,where M is the mid point of P and Q.