JEE Advanced Mathematics question

MathematicsCircleJEE Advanced

A foot of the normal from the point to a circle is , and a diameter of the circle has the equation . Then the equation of the circle is

Answer: (B)

Solution

Every normal passes through the centre, so the line through and its foot is along a diameter: slope , line , i.e. .

Centre = intersecti

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Question ID VK-108940