Find the shortest distance between the line `y=x-2` and the parabola `y=x^2+3x+2.`

Find the area included between the line y=x and the parabola x^2=4y .

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

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

Find the shortest distance between two parabolas y^(2)=x-2 and x^(2)=y-2

Find the shortest distance of the point (0, c) from the parabola y=x^2 , where 0lt=clt=5 .

Find the shortest distance of the point (0, c) from the parabola y=x^2 , where 0lt=clt=5 .

Find the shortest distance of the point (0, c) from the parabola y=x^2 , where 0lt=clt=5 .

The equation of the line of the shortest distance between the parabola y^(2)=4x and the circle x^(2)+y^(2)-4x-2y+4=0 is

Find the shortest distance between the z-axis and the line, x+y+2z-3=0,2x+3y+4z-4=0.

Find the shortest distance between the lines , (x-1)/2=(y-3)/4=(z+2)/1 and 3x-y-2z+4=0=2x+y+z+1 .