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Question
In the given figure 3 × CP = PD = 9 cm and AP = 4.5 cm. Find BP.
Solution
Since two chords AB and CD intersect each other at P.
∴ AP × PB = CP × PD
`=>` 4.5 × PB = 3 × 9 ...(3CP = 9 cm `=>` CP = 3 cm)
`=>` PB = `(3 xx 9)/4.5` = 6 cm
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