Let S = (x, y) R R : x 0, y 0, y^2 4x, y^2 12 - 2x and 3y + 8 ,x 5 8 . If the area of the region S is 2 , then is equal to

JEE Advanced 2024 Mathematics question

Let . If the area of the region is , then is equal to

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

The parabolas and meet (for ) where , i.e. at . The line also passes through (since ) and meets the -axis at . For the line lies below the parabola (e.g. at $x =

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Question ID VK-034216