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} $
Show Answer
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} $
