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 curves y^2 = 4x and x^2 + y^2 - 6x + 1 = 0 touch each other at the point (1,2)

Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at the points (1,\ 2) .

Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at the points (1,\ 2) .

Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at the points (1,\ 2) .

Prove that the curves y^(2)=4x and x^(2)+y^(2)-6x+1=0 touch each other at the point (1, 2).

Prove that the curves y^2=4xa n dx^2+y^2-6x+1=0 touch each other at the point (1,2).

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.

Prove that the curve x^(2)+y^(2)=1 and y^(2)=4(x-1) touches each other.

Prove that the circles given by the equations x^2+y^2=4 and x^2+y^2+6x+8y-24=0 touche each other and find the equation of the common tangent.

Prove that the curves x y=4 and x^2+y^2=8 touch each other.