Find the point on the graph `y^2=x` which is the nearest to the point (4,0)

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

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

Find the point on the curve 3x^(2)-4y^(2)=72 which is nearest to the line 3x+2y+1=0

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

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

The point on the line 4x-y-2=0 which is equidistant from the points (-5,6) and (3,2) is

Find the point on the straight line 3x+y+4=0 which is equidistant from the points (-5,6) and (3,2).

Prove that the point on the parabola y^(2) = 4ax (a gt0) nearest to the focus is its vertex.

Prove that the point on the parabola y^(2) = 4a ( a gt 0 nearest to the focus is its vertex.