In the given figure, two circles with centres A and B of radii 5 cm and 3 cm touch each other internally. If the perpendicular bisector of segment AB meets the bigger circle in P and Q, find the length of PQ.
A
4√6cm
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B
√24cm
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C
8√3cm
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D
4√3cm
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Solution
The correct option is B4√6cm
A and B are the centres of the circles with radii 5cm and 3cm respectively.
C is the mid-point of AB.
Extend AB upto O point on circumference of outer circle.
AB=AO−BO=5−3=2cm (since AO and BO are radii of larger and smaller circles)