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

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

If O is the origin and Q is a variable point on y^2=xdot Find the locus of the mid point of \ O Qdot

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 is the origin and Q is a variable, point on x^(2)=4y , find the locus of the mid-point of OQ.

If O is the origin and Q is a variable points on x^2=4ydot Find the locus of the mid pint of OQ.

If P is the point (1,0) and Q is any point on the parabola y^(2) = 8x then the locus of mid - point of PQ is

If P is a 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 from the origin a chord is drawn to the circle x^(2)+y^(2)-2x=0 , then the locus of the mid point of the chord has equation

Tangents are drawn to a unit circle with centre at the origin from each point on the line 2x + y = 4 . Then the equation to the locus of the middle point of the chord of contact is

OA and OB are two perpendicular straight lines. A straight line AB is drawn in such a manner that OA+OB=8 . Find the locus of the mid point of AB.