The area of the region (x, y) : |x − 1| y 5 - x^ 2 is equal to :

JEE Main 2022 Mathematics question

The area of the region {(x, y) : |x − 1| is equal to :

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

Answer: (4)

Solution

The curves y = |x − 1| and meet at x = −1 and x = 2 (the points (−1, 2) and (2, 1)). The required area is − |x − 1|)dx = \sqrt{5 - x^{2}}\sin ^{-1}\sqrt{5}$ -

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Question ID VK-035151