Quantitative Aptitude Ques 384
Question: Two circles touch each other internally. Their radii are 2 cm and 3 cm. The biggest chord of the greater circle which is outside the inner circle is of length
Options:
A) $ 2\sqrt{2},cm $
B) $ 3\sqrt{2},cm $
C) $ 2\sqrt{3},cm $
D) $ 4\sqrt{2},cm $
Show Answer
Answer:
Correct Answer: D
Solution:
- Let O and O’ be the centres of greater and smaller circles, respectively.
$ \therefore $ $ OM=O’M=OO’=2-1=1 $ In $ \Delta AOM, $ $ AM^{2}=OA^{2}-OM^{2} $ $ =9-1=8 $
$ \Rightarrow $ $ AM=2\sqrt{2} $
$ \therefore $ Length of biggest chord, $ AB=2\cdot AM=4\sqrt{2} $
BETA
