Question

Question no. 61 : Two circles of radii 7 cm and 3 cm
are drawn with centres M and N respectively. If their
transverse common tangents meet MN in P, then the
point P divides MN internally in the ratio ....
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Answer 1

Transverse common tangents to the two circle divides (internally) the line joining their centres in the ratio of their radii.

Hence the answer is 7:3