1. 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
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By: anil on 05 May 2019 01.55 am
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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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.