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Let \(S=\left\{(x,y)\in\R\times\R:x\ge0,y\ge0,y^2\le12-2x\ \text{and}\ 3y+\sqrt8\ x\le5\sqrt8\right\}\). If the area of the region S is \(\alpha\sqrt2\), then α is equal to
Let \(S=\left\{(x,y)\in\R\times\R:x\ge0,y\ge0,y^2\le12-2x\ \text{and}\ 3y+\sqrt8\ x\le5\sqrt8\right\}\). If the area of the region S is \(\alpha\sqrt2\), then α is equal to
Updated On: Jun 10, 2024
- \(\frac{17}{2}\)
- \(\frac{17}{3}\)
- \(\frac{17}{4}\)
- \(\frac{17}{5}\)
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The Correct Option is B
Solution and Explanation
The correct option is (B):\(\frac{17}{3}\)
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