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Question

If two chords AB and CD intersect internally at P and if PA = 5, PB = 4, PD = 2, then PC =


A

12

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B

22

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C

10

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D

20

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Solution

The correct option is C

10


If two chords intersect internally, then the product of their segments are equal.

PA×PB=PC×PD

5×4=PC×2

PC = 202

= 10

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