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Two Circles Touching Internally and Externally

Based on the ...

Question

Based on the following.
Two circles of radius $r_{1}$ and $r_{2}$ are drawn. The distance between their centres is $d$ .
The condition that both touch each other internally.

A

r_{2} + r_{2} = d

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B

r_{1} - r_{2} = d; r_{1} > r_{2}

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C

r_{1} + r_{2} > d

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D

r_{2} - r_{2} > d; r_{1} > r_{2}

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Solution

The correct option is B $r_{1} - r_{2} = d; r_{1} > r_{2}$
For internally touching circles, $r_{1} - r_{2} = d;$ where $r_{1} > r_{2}$ .
So, option B is correct.

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