Find the coordinates of the point at which the circles `x^2-y^2-4x-2y+4=0` and `x^2+y^2-12 x-8y+36=0` touch each other. Also, find equations of common tangents touching the circles the distinct points.

Find the coordinates of the point at which the circles x^(2)-y^(2)-4x-2y+4=0 and x^(2)+y^(2)-12x-8y+36=0 touch each other.Also,find equations of common tangents touching the circles the distinct points.

find the coordinates of the points at which the circle x^(2)+y^(2)-4x-2y=4 and x^(2)+y^(2)-12x-8y=12 touch each other.Find the equation of the common tangent at the point of contact.

Find the coordinates of the points at which the circles x^2+y^2-4x-2y=4 and x^2+y^2-12x-8y=12 touch each other. Find the coordinates of the point of contact and equation of the common tangent at the point of contact.

If the circles x^2+y^2+2x-8y+8=0 and x^2+y^2+10x-2y+22=0 touch each other find their point of contact

Prove that the circle x^(2)+y^(2)+2x+2y+1=0 and circle x^(2)+y^(2)-4x-6y-3=0 touch each other.

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 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.

Examine whether the two circles x^2+y^2-2x-4y=0 and x^2+y^2-8y-4=0 touch each other externally or internally .

The two circles x^(2)+y^(2)-cx=0 and x^(2)+y^(2)=4 touch each other if: