Integral Calculus & Area · JEE Advanced previous year questions

2024 1 question

1. Q22024 · 26 May 2024 · Paper 2

   Let $S=\left\{(x,y)\in \mathbb{R}\times \mathbb{R}:x\ge 0,y\ge 0,y^2\le 4x,y^2\le 12-2x\text{ and }3y+\sqrt{8}x\le 5\sqrt{8}\right\}$. If the area of the region $S$ is $\alpha \sqrt{2}$, then $\alpha$ is equal to

   1. A.$\frac{17}{2}$
   2. B.$\frac{17}{3}$
   3. C.$\frac{17}{4}$
   4. D.$\frac{17}{5}$
   Show answer

   Answer: B