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JEE Advanced Mathematics question

MathematicsProbabilityJEE Advanced

A point is selected at random from the interior of a circle. The probability that the point is closer to the centre than the boundary of the circle is

Answer: (C)

Solution

Let the radius be and let the point be at distance from the centre. Its distance from the boundary is . The point is closer to the centre when , that is, , so it

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Question ID VK-109782