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

Using calculus find the coordinates of the point on the parabola y=x^(2) , which is at the least distance from the straight line y=2x-4 .

Find the point on y=x^2+4 which is at shortest distance from the line y=4x-4

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

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

The coordinates of a point on the line x+y+1=0 which is at a distance (1)/(5) unit from the line 3x+4y+2=0 are

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

Find the points on the line x+y=4 which lie at a unit distance from the line 4x+ 3y=10 .

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