Exams › SSC CGL (Prelims) › General

Two circles intersect at two points. Which of the following statements is true?

1. Only two common tangents exist
2. They must be concentric
3. The external tangents do not exist
4. The number of tangents is always four

Correct answer: Only two common tangents exist

Solution

When two circles intersect at two points, they lie partly inside each other, so only the two external common tangents can be drawn. Internal common tangents are not possible in this case.

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