M and N are the centres of two circles of radii 7cm and 4cm respectively the direct common tangent to - Maths - Circles

Question

M and N are the centres of two circles of radii 7cm and 4cm
respectively the direct common tangent to the circle meet MN at P
then in what ratio does P divide MN

Ayush Jha · Accepted Answer

We have following situation-

Since triangle PNB and PMA are similar So the ratio of corresponding sides are equal Therefore, $\frac{P N}{P M} = \frac{4}{7}$

M and N are the centres of two circles of radii 7cm and 4cm respectively the direct common tangent to the circle meet MN at P then in what ratio does P divide MN