Let A_ 1 = (x, y) : |x| y^ 2 , |x| + 2y 8 and A_ 2 = (x, y) : |x| + |y| k . if 27(Area A_ 1 ) = 5(Area A_ 2 ), then k is equal to _____.

JEE Main 2022 Mathematics question

Let = {(x, y) : |x| , |x| + 8} and = {(x, y) : |x| + |y| k}. if 27(Area ), then k is equal to .

Answer: 6

Taking the region above the x-axis, the curves |x| = and y = (8 − |x|)/2 meet at (, 2). The area is − x)/2 −

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Question ID VK-034621