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Question

(i) In the given figure, 3 × CP = PD = 9 cm and AP = 4.5 cm. Find BP.

(ii) In the given figure, 5 × PA = 3 × AB = 30 cm and PC = 4 cm. Find CD.

(iii) In the given figure, tangent PT = 12.5 cm and PA =10 cm; find AB.

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Solution

Since two chords AB and CD intersect each other at P.




(ii)PA X PB = PC X PD
6×16=4×pd
PD=24
CD=20




(iii)

Since PAB is the secant and PT is the tangent



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