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

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

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

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) .

Show that the curves x y=a^2 and x^2+y^2=2a^2 touch each other.

Show that the curve xy=a^2 and x^2+y^2=2a^2 touch each other.

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 curves x y=a^2a n dx^2+y^2=2a^2 touch each other

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.