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

MHT CET 2022 Mathematics question

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

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

Answer: (B)

Solution

The unit circle and the parabola (i.e. ) meet where , i.e. at and . For every we have , so the region is bounded on the left by the circle and on the right by the parabola

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Question ID VK-097027