The area (in sq. units) of the region described by A = (x,y) , | ,y x^2-5x+4, x+y 1, y 0 is

JEE Main 2016 Mathematics question

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

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

Answer: (1)

Solution

The parabola dips below the -axis between and , and the condition with forces . So the region lies between and , bounded above by and below by whichever of the line and the parabola is higher. Their difference

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Question ID VK-115579