JEE Main 2022MathematicsProbabilityHardMCQ

JEE Main 2022 — Probability Question with Solution

JEE Main 2022 (27 Jun Shift 2)

Question

If a point Ax,y lies in the region bounded by the y-axis, straight lines 2y+x=6 and 5x-6y=30, then the probability that y<1 is

Choose an option

Show full solutionCorrect option: B
Correct answer
B56

Step-by-step explanation

Plotting the diagram of the given straight line we get,

Now by diagram, required probability =arADECarABC

=1-arBDEarABC

=1-12×2×412×8×6=1-16=56

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About this question

This is a previous-year question from JEE Main 2022, covering the Probability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.