question_answer

The length of a line segment AB = 2 cm. It is divided into two parts at a point C such that \[A{{C}^{2}}=AB\times CB\]. Find the length of CB.

A)  \[(3+\sqrt{5})\] cm        

B)  \[(3-\sqrt{5})cm\]

C)  \[(2-\sqrt{5})cm\]          

D)  \[\sqrt{3}cm\]