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In the adjoining figure, two circle with...

In the adjoining figure, two circle with centres at A and B, and of radii 5 cm and 3 cm touch each other internally. If the perpendicular bisector of AB meets the bigger circle in P and Q, find the length of PQ.

Text Solution

Verified by Experts

`AB=5-3=2cm`
`AM=2/2=1`
`In/_APM`
`AP^2=AM^2+MD^2`
`5^2=1^2+MD^2`
`25=1+MD^2`
`MD^2=24`
`MD=sqrt24=2sqrt6`
...
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