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Q.

A circle is entirely contained within another circle. Which of the following is therefore correct? 

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a

only one common tangent

b

two common tangents

c

no common tangent

d

infinite number of tangents

answer is C.

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Detailed Solution

Tangents between two circles can be internal or external.

A common internal tangent intersects the line segment connecting the two circles' centres, whereas a common external tangent does not. 

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There can be no common tangents drawn if one circle is completely inside another.

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A circle is entirely contained within another circle. Which of the following is therefore correct?