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

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

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

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

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

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 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 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.