The curves `y=x^2-1,y=8x-x^2-9` touch each other at the point (2, 3). The equation of the common normal is

The curves y=x^(2)+x+1 and 2y=x^(3)+5x touch each other at the point

The curves y=x^3-3x^2-8x-4,y=3x^2+7x+4 touch at the point (-1, 0). The equation of the common tangent is

The curves y=x^(3)+x+1 and 2y=x^(3)+5x touch each other at the point

The curves y=4x^(2)+2x-8 and y=x^(3)-x+13 touch each other at the point

Prove that the curve y^2=4x and x^2 +y^2 - 6x +1=0 touches each other at thepoint (1, 2), find the equation of the common tangents.

Prove that the curve y^(2)=4x and x^(2)+y^(2)-6x+1=0 touches each other at thepoint (1,2), find the equation of the common tangents.

The curves y=4x^(2)+2x-5 and y=x^(3)-x+13 touch each other at the point …………..

The curves y=4x^(2)+2x-8 and y=x^(3)-x+13 touch each other at which point?

Prove that the curves y=x^(3)-3x^(2)-8x-4,y=3x^(2)+7x+4 touch each other and equation of the common tangent is x-y+1=0 .

Show that the curvesy ^(2)=4x and x^(2)+y^(2)-6x+1=0 touch each other at (1,2). Also find the equation of the common tangent and normal.