JEE Advanced Mathematics question

MathematicsProbabilityJEE Advanced

Given that and . Let A be the event of satisfying and B be the event of satisfying . Then

Answer: (A),(B)

Solution

The sample space is the unit square, with area 1. *(Figure: unit square OPQR with O(0,0), P(1,0), Q(1,1), R(0,1); the curves (upper arc OTQ) and (lower arc OSQ) meet at O and Q.)* - = area under . - = area to the left of

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Question ID VK-109789