The range of values of for which the circles x^2 + y^2 = 4 and x^2 + y^2 - 4 x + 9 = 0 have two common tangents, is

JEE Advanced Mathematics question

The range of values of for which the circles and have two common tangents, is

Answer: (B)

Exactly two common tangents the circles intersect in two distinct points.

Subtracting the equations: (clearly ).

Putting this in : . For two

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Question ID VK-108928