QJEEM22Ma437e: JEE Main 2022 Mathematics - Class 12 JEEM22Ma437e Solution: If a point A(x, y) lies in the region bounded by the y-axis,…

Question

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If a point A(x, 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 :

Accepted Answer

The required probability

JEE Main 2022 (Online) 27th June Evening Shift Mathematics - Probability Question 94 English Explanation

$= {\text{Area of Region PQCAP} \over \text{Area of Region ABCA}}$

$= {{{1 \over 2} \times 8 \times 6 - {1 \over 2} \times 2 \times 4} \over {{1 \over 2} \times 8 \times 6}}$

$= {5 \over 6}$

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