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 O is the origin and Q is a variable point on y^(2)=x* Find the locus of the mid point of OQ

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 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 points on x^(2)=4y. Find the locus of the mid pint of OQ .

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 y^(2)+4x+2=0y^(2)-4x+2=0x^(2)-4y+2=0x^(2)+4y+2=0

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.