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JEE Main 2026 Mathematics question

MathematicsCircleJEE Main 2026

Let a circle C have its centre in the first quadrant, intersect the coordinate axes at exactly three points and cut off equal intercepts from the coordinate axes. If the length of the chord of C on the line x + y = 1 is √14, then the square of the radius of C is .

Answer: 8

Solution

Three intersection points means the circle passes through the origin; equal intercepts put the centre on y = x at (h, h)

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Question ID VK-015208