question_answer

AB is a chord of a circle with centre O and radius 17 cm. If \[OM\bot AB\] and OM = 8 cm, find the length of chord AB.

A)  12cm                         

B)  30cm

C)  15cm             

D)    24cm 

Correct Answer: B

Solution :

Given \[GA=17\,cm\]and \[OM=8\,cm.\] In \[\Delta {\mathrm O}\Mu A,O{{A}^{2}}=O{{M}^{2}}+A{{M}^{2}}\] \[\Rightarrow \]\[AM=\sqrt{225}=15\,cm\] So, \[AB=2\times AB=2\times 15=30\,cm.\]