JEE Main Solved Paper 2017 Question 6

Question: The area (in sq. units) of the region {(x,y)}$:x\ge 0,x+y\le 3,x^{2}\le 4y $ and $ y\le 1+\sqrt{x}$} is: JEE Main Solved Paper-2017

Options:

A) $ \frac{5}{2} $

B) $ \frac{59}{12} $

C) $ \frac{3}{2} $

D) $ \frac{7}{3} $

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Answer:

Correct Answer: A

Solution:

  • $ Area=\int\limits_0^{1}{(1+\sqrt{x})}dx+\int\limits_1^{2}{(3-x)}dx-\int\limits_0^{2}{\frac{x^{2}}{4}}dx $ $ =\frac{5}{2} $