1
JEE Main 2018 (Offline)
MCQ (Single Correct Answer)
+4
-1
Let g(x) = cosx2, f(x) = $$\sqrt x$$ and $$\alpha ,\beta \left( {\alpha < \beta } \right)$$ be the roots of the quadratic equation 18x2 - 9$$\pi$$x + $${\pi ^2}$$ = 0. Then the area (in sq. units) bounded by the curve
y = (gof)(x) and the lines $$x = \alpha$$, $$x = \beta$$ and y = 0 is :
A
$${1 \over 2}\left( {\sqrt 2 - 1} \right)$$
B
$${1 \over 2}\left( {\sqrt 3 - 1} \right)$$
C
$${1 \over 2}\left( {\sqrt 3 + 1} \right)$$
D
$${1 \over 2}\left( {\sqrt 3 - \sqrt 2 } \right)$$
2
JEE Main 2018 (Online) 15th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
The area (in sq. units) of the region

{x $$\in$$ R : x $$\ge$$ 0, y $$\ge$$ 0, y $$\ge$$ x $$-$$ 2  and y $$\le$$ $$\sqrt x$$}, is :
A
$${{13} \over 3}$$
B
$${{8} \over 3}$$
C
$${{10} \over 3}$$
D
$${{5} \over 3}$$
3
JEE Main 2017 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
The area (in sq. units) of the smaller portion enclosed between the curves, x2 + y2 = 4 and y2 = 3x, is :
A
$${1 \over {2\sqrt 3 }} + {\pi \over 3}$$
B
$${1 \over {\sqrt 3 }} + {{2\pi } \over 3}$$
C
$${1 \over {2\sqrt 3 }} + {{2\pi } \over 3}$$
D
$${1 \over {\sqrt 3 }} + {{4\pi } \over 3}$$
4
JEE Main 2017 (Offline)
MCQ (Single Correct Answer)
+4
-1
The area (in sq. units) of the region

$$\left\{ {\left( {x,y} \right):x \ge 0,x + y \le 3,{x^2} \le 4y\,and\,y \le 1 + \sqrt x } \right\}$$ is
A
$${3 \over 2}$$
B
$${7 \over 3}$$
C
$${5 \over 2}$$
D
$${59 \over 12}$$
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