JEE Main 2022 Mathematics question

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-

Answer: (2)

Solution

The region is the triangle with vertices (0, 3), (0, −5) and (6, 0), of area . The part with y < 1 is the

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Question ID VK-034522