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Question

The two circles x2+y2=c2(c>0) touch each other if:

A
2|a|=C
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B
|a|=C
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C
a=2c
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D
|a|=2c
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Solution

The correct option is B 2|a|=C

We have,

As centre of one circle is (0,0) and other circle passes through the (0,0).

Therefore,

Also C1(a2,0) and C2(0,0).

Then,

r1=a2r2=c

C1C2=r1r2=a2

C=a2=a2

C=a

If two circles touches each other they must be touch each other internally.

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