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JEE Advanced Mathematics question

MathematicsCircleJEE Advanced

The common chord of the circle and a circle passing through the origin, and touching the line , always passes through the point

Answer: (C)

Solution

Let the second circle be (through the origin). Since the origin lies on , the circle touches at the origin. Putting : must have equal roots (both ), so , i.e. .

Common c

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Question ID VK-108946