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Application of Integration question

2025 · Shift 2 · Q18

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JEE Advanced
Mathematics
Application of Integration
2025 · Shift 2 · Q18

Application of Integration question

2025 · Shift 2 · Q18

JEE AdvancedMathematicsApplication of IntegrationMCQ+3 / −1

Let ℝ denote the set of all real numbers. Then the area of the region $ \left\{ (x, y) \in \mathbb{R} \times \mathbb{R} : x > 0, y > \frac{1}{x}, 5x - 4y - 1 > 0, 4x + 4y - 17 is

A
$\frac{17}{16} - \log_e{4}$
B
$\frac{33}{8} - \log_e{4}$
C
$\frac{57}{8} - \log_e{4}$
D
$\frac{17}{2} - \log_e{4}$

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