Find the point on the curve `y^2= 2x` which is at a minimum distance from the point `(1, 4)`

The coordinates of the point on the parabola y^2=8x which is at a minimum distance from the circle x^2+(y+6)^2=1 are

Find the point on the curve y^2=4x which is nearst to the point (2,1)

Find the coordinates of a point on the parabola y^2 = 8x which is at minimum distance from the circle x^2 + (y + 6)^2 =1

Find the point on the curve y^2 = 2x which is nearest to the point (1,4).

Find the point on the curve y^2=4x which is nearest to the point (2,1).

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

The coordinate of the point on the curve x^(2)=4y which is atleast distance from the line y=x-4 is