The shortest distance between the point `((3)/(2),0)` and the curve `y=sqrt(x),(x gt 0)`, is

The shortest distance between the point (3/2,0) and the curve y=sqrtx,(xgt0) , is (sqrtk)/2 . The value of k is ___________.

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

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

The shortest distance between the line y=x and the curve y^(2)=x-2 is:

The shortest distance between the line x-y=1 and the curve id x^2=2y

The shortest distance between the line y-x =1 and the curve x=y^2 is

The shortest distance between the lines y-x=1 and the curve x=y^2 is

The shortest distance between the line x=y and the curve y^(2)=x-2 is