1
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The integral $$\int\limits_{\pi /6}^{\pi /3} {{{\sec }^{2/3}}} x\cos e{c^{4/3}}xdx$$ is equal to :
A
$${3^{{5 \over 3}}} - {3^{{1 \over 3}}}$$
B
$${3^{{5 \over 6}}} - {3^{{2 \over 3}}}$$
C
$${3^{{4 \over 3}}} - {3^{{1 \over 3}}}$$
D
$${3^{{7 \over 6}}} - {3^{{5 \over 6}}}$$
2
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The area (in sq.units) of the region bounded by the curves y = 2x and y = |x + 1|, in the first quadrant is :
A
$${1 \over 2}$$
B
$${3 \over 2}$$
C
$${3 \over 2} - {1 \over {\log _e^2}}$$
D
$$\log _e^2 + {3 \over 2}$$
3
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If z and w are two complex numbers such that |zw| = 1 and arg(z) – arg(w) = $${\pi \over 2}$$ , then :
A
$$z\overline w = {{1 - i} \over {\sqrt 2 }}$$
B
$$\overline z w = i$$
C
$$z\overline w = {{ - 1 + i} \over {\sqrt 2 }}$$
D
$$\overline z w = -i$$
4
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The sum of the real roots of the equation
$$\left| {\matrix{ x & { - 6} & { - 1} \cr 2 & { - 3x} & {x - 3} \cr { - 3} & {2x} & {x + 2} \cr } } \right| = 0$$, is equal to :
A
- 4
B
0
C
1
D
6
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