If the circles x^2 + y^2 - 2x = 0 and x^2 + y^2 + 2 y = 4 have only one common tangent then is

JEE Advanced Mathematics question

If the circles and have only one common tangent then is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

Exactly one common tangent means the circles touch **internally**. First circle: centre , . Second: centre , . Distance between centres . Internal contact: (as ):

{

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Question ID VK-110048