The area (in sq. unit) of the region described by A = (x, y) : x^2 + y^2 1 and y^2 1 - x is

JEE Main 2014 Mathematics question

The area (in sq. unit) of the region described by is

(1)
(2)
(3)Correct
(4)

Answer: (3)

Solution

The parabola opens to the left with vertex (1, 0) and meets the unit circle where , i.e. at (0, ±1) and (1, 0). For each the region runs from \sqrt${1 -

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Question ID VK-104339