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JEE Main 2022 Mathematics question

MathematicsArea Under CurveJEE Main 2022

Let the locus of the centre (, ), , of the circle which touches the circle externally and also touches the x-axis be L. Then the area bounded by L and the line y = 4 is :

Answer: (3)

Solution

The distance from (, ) to (0, 1) equals the sum of the radii: , so . The locus

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Question ID VK-024816