P(2, 2) is a point on the parabola `y^(2)=2x` and A is its vertex. Q is anoter point on the parabola such that PQ is perpendicular to AP. What is the length of PQ.

If Q is the point on the parabola y ^(2) =4x that is nearest to the point P (2,0) then PQ =

P is a point on the parabola y^(2)=4x and Q is Is a point on the line 2x+y+4=0. If the line x-y+1=0 is the perpendicular bisector of PQ, then the co-ordinates of P can be:

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

If P is the point (2,1,6) find the point Q such that PQ is perpendicular to the plane x+y-2z=3 and the mid point of PQ lies on it.

If P is the point (2,1,6) find the point Q such that PQ is perpendicular to the plane x+y-2z=3 and the mid point of PQ lies on it.

A=(-2,0) and P is a point on the parabola y^(2)=8x. If Q bisects bar(AP) and the locus of Q is a parabola then its focus is

A normal of slope 4 at a point P on the parabola y^(2)=28x , meets the axis of the parabola at Q. Find the length PQ.

AP is perpendicular to PB, where A is the vertex of the parabola y^(2)=4x and P is on the parabola.B is on the axis of the parabola. Then find the locus of the centroid of o+PAB .

If P be a point on the parabola y^(2)=3(2x-3) and M is the foot of perpendicular drawn from the point P on the directrix of the parabola, then length of each sires of the parateral triangle SMP(where S is the focus of the parabola),is