The distance between the point (1 1) and the normal to the curve `y=e^(2x)+x^(3)` at x=0 is

The distance between the origin and the normal to the curve y=e^(2x)+x^(2) at x=0 is

Find the distance between the point (1, 1) and the tangent to the curve y = e^(2x) + x^(2) drawn from the point x = 0.

The distance betwcen the point (1, 1) and the tangent to the curve y= e^(2x) +x^(2) drawn from the point x =0 is

The distance between the origin and the tangent to the curve y=e^(2x)+x^(2) drawn at the point x=0 is

The shortest distance between the point (0, 1/2) and the curve x = sqrt(y) , (y gt 0 ) , is:

The equation of the normal to the curve y=(1+x)^(2y)+cos^(2)(sin^(-1)x) at x=0 is :

Find the shortest distance between the line x-y+1=0 and the curve y^(2)=x

The equation of normal to the curve y=x^2-2x+1 at (0,1) is

Show that the curve such that the distance between the origin and the tangent at an arbitrary point is equal to the distance between the origin and the normal at the same point sqrt(x^2+y^2) =ce^(+-tan^(-1y/x))