1
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
The area of the region

A = {(x, y) : 0 $$\le$$ y $$\le$$x |x| + 1  and  $$-$$1 $$\le$$ x $$\le$$1} in sq. units, is :
A
$${2 \over 3}$$
B
2
C
$${4 \over 3}$$
D
$${1 \over 3}$$
2
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
If   $$\int\limits_0^{{\pi \over 3}} {{{\tan \theta } \over {\sqrt {2k\,\sec \theta } }}} \,d\theta = 1 - {1 \over {\sqrt 2 }},\left( {k > 0} \right),$$ then value of k is :
A
4
B
$${1 \over 2}$$
C
1
D
2
3
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
The value of $$\int\limits_0^\pi {{{\left| {\cos x} \right|}^3}} \,dx$$ is :
A
$$4 \over 3$$
B
$$-$$ $$4 \over 3$$
C
0
D
$$2 \over 3$$
4
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
The area (in sq. units) bounded by the parabolae y = x2 – 1, the tangent at the point (2, 3) to it and the y-axis is :
A
$$56\over3$$
B
$$32\over3$$
C
$$8\over3$$
D
$$14\over3$$
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