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TS EAMCET · Maths · Circle

Suppose C1 and C2 are two circles having no common points, then

  1. A There will be 3 common tangents to C 1 and C 2
  2. B There will be exactly two common tangents to C 1 and C 2
  3. C There will be no common tangent or there will be exactly two common tangents to C 1 and C 2
  4. D There will be no common tangents or there will be four common tangents to C 1 and C 2
Verified Solution

Answer & Solution

Correct Answer

(D) There will be no common tangents or there will be four common tangents to C 1 and C 2

Step-by-step Solution

Detailed explanation

The two circles can be either external to each other or one circle can be completely inside the other. If the circles are external to each other, there are 4 common tangents. If one circle is completely inside the other, there are 0 common tangents. Therefore, there will be no…