Show that the curves`y^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 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 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 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).

Show that the circles x^(2) + y^(2)-4x-6y-12=0 and x^(2) +y^(2) + 6x + 18 y + 26 = 0 touch each other. Also find the point of contact and common tangent at this point of contact.

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.