let `P` be the point `(1, 0)` and `Q` be a point on the locus `y^2= 8x`. The locus of the midpoint of `PQ` is

If O be origin and A is a point on the locus y^(2)=8x .find the locus of the middle point of OA

If P is the point (1,0) and Q lies on the parabola y^(2)=36x , then the locus of the mid point of PQ is :

Let O be the origin and A be a point on the curve y^(2)=4x .Then locus of midpoint of OA is

Let P be a variable point on the parabola y = 4x ^(2) +1. Then, the locus of the mid- point of the point P and the foot of the perpendicular drawn from the point P to the line y =x 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

If P is point on the parabola y ^(2) =8x and A is the point (1,0), then the locus of the mid point of the line segment AP is

If P is a point on the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 and Q be the focus of the parabola y^(2)=8x then locus of mid-point of PQ is