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JEE Math Practice Question

The area of the region \[ \left\{(x, y): 0 \leq x \leq \frac{9}{4}, \quad 0 \leq y \leq 1, \quad x \geq 3 y, \quad x+y \geq 2\right\} \] is

  1. A.$\frac{11}{32}$
  2. B.$\frac{35}{96}$
  3. C.$\frac{37}{96}$
  4. D.$\frac{13}{32}$

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