The point of intersection of direct common tangents and transverse common tangents to two circles divide the line segmenta joining the two centres externally and internally respectively in the ratio of their radii.

Common tangent to two circles

Length of Direct and transverse common tangent

Two intersecting circles have a common tangent or not?

If the length of direct common tangent and transverse common tangent of two circles with integral radii are 3 units and 1 unit respectively, then the reciprocal of the square of the distance between the centres of the circles is equal to

Common Tangents of Two Circles - Direct and Transverse Common Tangent

Family Of Circles|Common Tangents to Two Circles|OMR

The length of common internal tangent to two circles is 7 and that of a common external tangent is 11. Then the product of the radii of the two circles is

If the radii of two circles be 8 cm and 4 cm and the length of the transverse common tangent be 13 cm, then find the distance between the two centers is