Find the distance of the point on `y=x^4+3x^2+2x` which is nearest to the line `y=2x-1`

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

Find the point on the hyperbola x^2/24 - y^2/18 = 1 which is nearest to the line 3x+2y+1=0 and compute the distance between the point and the line.

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

Find the distance of the point of intersection of the lines 2x+3y=21 and 3x-4y+11=0 from the line 8x+6y+5=0

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 (2,1) .

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

The point on the ellipse x^(2)+2y^(2)=6 which is nearest to the line x-y=7 is