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Question
P and Q are the centres of two circles whose radii are 5 cm and 11 cm, respectively. If the direct common tangent to the circles meets PQ at M, then, M divides PQ in the ratio
P and Q are the centres of two circles whose radii are 5 cm and 11 cm, respectively. If the direct common tangent to the circles meets PQ at M, then, M divides PQ in the ratio
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Solution
The correct option is C 5 : 11 externally
The direct common tangent divides the line joining the center of two circles externally in the ratio of their radii.
Given, the radius of first circle = 5 cm
The radius of second circle = 11 cm
M is the point at which the tangent meets the line PQ
∴ M divides PQ in the ratio =5 : 11[externally]
The direct common tangent divides the line joining the center of two circles externally in the ratio of their radii.
Given, the radius of first circle = 5 cm
The radius of second circle = 11 cm
M is the point at which the tangent meets the line PQ
∴ M divides PQ in the ratio =5 : 11[externally]
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