JEE Advanced Mathematics question

MathematicsCircleJEE Advanced

There are two circles whose equations are and , . If the two circles have exactly two common tangents then the number of possible values of is

Answer: (C)

Solution

, ; , . For a real circle, , i.e. . Distance between centres .

Exactly two common tangents the circles cut at two points .

- : $3+

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Question ID VK-108923