question_answer

Two triangles BAC and BDC, right angled at A and D respectively, are drawn on the same base BC and on the same side of BC. If AC and DB intersect at P, which of the following statements is true?

A)  \[AP\times PC=DP\times PB\]

B)  \[\frac{AP}{PC}=\frac{DP}{PB}\]

C)  \[AP\times PB=DP\times PC\]

D)  Both [b] and [c]

Correct Answer: A

Solution :

                   According to the given problem, \[\therefore \] \['x'\]\[\frac{32}{24}=\frac{12}{x}\] \[\Rightarrow \]\[x=9\,cm\]