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The area of the region \(\{ {(x, y): 0 ≤ x ≤ \frac{9}{4}, 0 ≤ y ≤ 1, x ≥ 3y, x + y ≥ 2}\}\)
The area of the region \(\{ {(x, y): 0 ≤ x ≤ \frac{9}{4}, 0 ≤ y ≤ 1, x ≥ 3y, x + y ≥ 2}\}\)
Updated On: Aug 4, 2024
\(\frac{11}{32}\)
\(\frac{35}{96}\)
\(\frac{37}{96}\)
\(\frac{13}{32}\)
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The Correct Option is A
Solution and Explanation
Area of required region
\(=\frac{1}{2} (\frac{2}{3}+\frac{3}{4})\frac{1}{4}+\frac{1}{2} \times\frac{2}{3} \times\frac{1}{2}\)
\(=\frac{11}{32}\)
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