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Question 35
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 if length
Solution
The biggest chord lying outside the inner circle must be tangential to it.
By pytagoras theorem,
$$x = \sqrt{3^2 - 1^2} = \sqrt{9-1} = \sqrt{8} = 2 \sqrt{2}$$
The length of the chord is 2x = $$4 \sqrt{2}$$
Hence Option D is the correct answer.
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