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 Share with your friends Share 1 Abhishek Jha answered this 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×PD⇒3×PA+AB=2×PC+CD⇒3×3+5=2×2+CD⇒3×8=2×2+CD⇒2+CD=12⇒CD=12-2=10Therefore CD=10 cmHence option (B) is correct. Regards 1 View Full Answer