SSC
Sample Paper
Mock Test-6 SSC CGL Tear-II Paper-1
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 \[\therefore \] \[AB=\sqrt{{{3}^{2}}-{{1}^{2}}}=\sqrt{8}\,\,\text{cm}\] \[\therefore \] Required length \[=BC=2AB=2\sqrt{8}\,\,\text{cm}=4\sqrt{2}\,\,\text{cm}\]