In the given figure, two circles touch each other externally at the point C. Prove that the common tangent to the circle at C bisects the common tangents at P and Q.

"If two circles each other externally them the point of contact and the centres are collinear" Prove this.

Prove that, "If two circles touch each other externally, their centres and the point of contact are collinear".

In the given figure, two circles with centres O and O' touch externally at a point A. A line through A is drawn to intersect these circles at B and C. Prove that the tangents at B and C are parallel.

Two circles of radius 25 cm and 9 cm touch each other externally. Find the length of the direct common tangent.

Prove that the tangents to a circle at the end points of a diameter are parallel.

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre .

Two circles when touch externally, the number of transverse common tangents that can be drawn is :

Two circles intersect each other. Then the total number of common tangents that can be drawn to them is :

In a right triangle ABC, a circle with a side. AB as diameter is drawn to intersect the hypotenuse AC in P. Prove that the tangent to the circle at P bisects the side BC.

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.