question_answer

Consider a circle with centre at O and radius r. Points A and B lie on its circumference and a point M lies outside of it such that M, A and O lie on the same straight line. Then, the ratio of MA to MB is

A)  equal to 1                    

B)  equal to r       

C)  greater than 1   

D)  less than 1  

Correct Answer: D

Solution :

Since, secants LA and BJV are intersecting at an exterior point M, then \[LM\times AM=BM\times NM\]\[\Rightarrow \]\[\frac{MA}{MB}=\frac{MN}{LM}<1\]