JEE Main 2024 Mathematics question

MathematicsCircleJEE Main 2024

Let ABCD and AEFG be squares of side 4 and 2 units, respectively. The point E is on the line segment AB and the point F is on the diagonal AC. Then the radius r of the circle passing through the point F and touching the line segments BC and CD satisfies:

Answer: (B)

Solution

Take A = (0, 0), C = (4, 4), F = (2, 2). The circle touching BC and CD has centre

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Question ID VK-011653