1
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 ___
Open in App
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 the first circle = 5 cm
The radius of the 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]
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 the first circle = 5 cm
The radius of the 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]
Suggest Corrections
0
Similar questions