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Let S = {(x, y) ∈ R × R: x ≥ 0, y ≥ 0, y² ≤ 4x, y² ≤ 12 - 2x and 3y + √8x ≤ 5√8}. If the area of the region S is α√2, then α is equal to -

1. 17/2
2. 17/3
3. 17/4
4. 17/5

Correct answer: 17/3

Solution

To find the area of the region S, we need to analyze the given inequalities and determine the boundaries of the region, which will allow us to calculate the area and find the value of α.

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