Q.20. In the figure, A P = 3   c m ,   B A = 5   c m   a n d   C P = 8   c m , find CD.


(A) 12 cm
(B) 10 cm
(C) 6 cm
(D) 6 cm

Dear student,
Here is the solution of your asked query:
AP=3 cm; BA=5 cm and CP=2 cmHere PAB and PCD are two secants intersecting the circle at A, B, C and DWe know that when two secant intersecting the lines at any point P, then we have;PA×PB=PC×PD3×PA+AB=2×PC+CD3×3+5=2×2+CD3×8=2×2+CD2+CD=12CD=12-2=10Therefore CD=10 cmHence option (B) is correct.
Regards

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