JEE Advanced Mathematics question

MathematicsCircleJEE Advanced

Circles are drawn through the point to cut an intercept of length 6 units on the negative direction of the -axis. The equation of the locus of their centres is

Answer: (C)

Solution

The circle meets the -axis at and at one more point; the intercept between them is 6 and the second point lies in the negative direction, so it is

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Question ID VK-108962