The point on the parabola which is nearest to directrix is

The point on the parabola y^(2)=64x which is nearest to the line 4x+3y+35=0 has coordinates

The point on the parabola x^(2)=y which is nearest to (3,0) is

Find the point on the parabola x^(2)=8y , which is nearest to the point (2, 4).

If 2x-y+1=0 is a tangent on the parabola which intersect its directrix at (1,3) and focus is (2,1) ,then equation of axis of parabola is

Find the coordinates of any point on the parabola whose focus is (0,1) and directrix is x+2=0

The co-ordinates of the point on the parabola y=(x^(2)+10x+3) which is nearest to the straight line y=4x-7 are

A parabola y^(2)=4axandx^(2)=4by intersect at two points. A circle is passed through one of the intersection point of these parabolas and touch the directrix of first parabola then the locus of the centre of the circle is