question_answer

In the following figure, if OA = 10 and AC = 16. then OB must be

A)  5                                

B)  6              

C)  3                                

D)  4              

Correct Answer: B

Solution :

AB = BC = 8 OA = 10 \[\therefore \] \[OB=\sqrt{O{{A}^{2}}-A{{B}^{2}}}\] \[=\sqrt{{{10}^{2}}-{{8}^{2}}}\] \[=\sqrt{36}=6\]