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Q.

A circle is entirely in another circle. then which of the following is 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

Given a circle completely inside other circle.
Question Image

Question Image

If one circle is completely inside another circle, it is not possible to draw any common tangents as if a point is inside the circle, then that point cannot be on the tangent.
Thus, it is not possible to draw a common tangent to two circles if one circle is inside the other circle.
Thus, there will be no common tangents.
Therefore, option (3) is correct.

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