Let S = ( x , y )∈ × : x ≥ 0, y ≥ 0, y 2 ≤ 4 x , y 2 ≤ 12 – 2 x and 3 y+ 8 x 5 8 . If the…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

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

Answer

(B)

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