question_answer

Two circles touch each other internally. Their radii are 2 cm and 3 cm. The biggest chord of the outer circle which is outside the inner circle is of length.:

A) \[2\sqrt{2}\] cm                         

B) \[3\sqrt{2}\] cm

C) \[2\sqrt{3}\] cm                         

D) \[4\sqrt{2}\] cm

Correct Answer: D

Solution :

       Here. OA = 10 cm, OB = 3 cm \[\therefore \,AB=\sqrt{{{3}^{2}}-{{1}^{2}}}=\sqrt{8}\]  cm \[\therefore \] Required length = BC = 2AB \[=2\sqrt{8}\] cm \[=4\sqrt{2}\] cm