1
JEE Main 2020 (Online) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If $$\int {{{\sin }^{ - 1}}\left( {\sqrt {{x \over {1 + x}}} } \right)} dx$$ = A(x)$${\tan ^{ - 1}}\left( {\sqrt x } \right)$$ + B(x) + C,
where C is a constant of integration, then the ordered pair (A(x), B(x)) can be :
A
(x + 1, -$${\sqrt x }$$)
B
(x + 1, $${\sqrt x }$$)
C
(x - 1, -$${\sqrt x }$$)
D
(x - 1, $${\sqrt x }$$)
2
JEE Main 2020 (Online) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If z1 , z2 are complex numbers such that
Re(z1) = |z1 – 1|, Re(z2) = |z2 – 1| , and
arg(z1 - z2) = $${\pi \over 6}$$, then Im(z1 + z2 ) is equal to :
A
$${{\sqrt 3 } \over 2}$$
B
$${1 \over {\sqrt 3 }}$$
C
$${2 \over {\sqrt 3 }}$$
D
$${2\sqrt 3 }$$
3
JEE Main 2020 (Online) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the term independent of x in the expansion of
$${\left( {{3 \over 2}{x^2} - {1 \over {3x}}} \right)^9}$$ is k, then 18 k is equal to :
A
5
B
9
C
7
D
11
4
JEE Main 2020 (Online) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The set of all real values of $$\lambda $$ for which the quadratic equations,
($$\lambda $$2 + 1)x2 – 4$$\lambda $$x + 2 = 0 always have exactly one root in the interval (0, 1) is :
A
(–3, –1)
B
(2, 4]
C
(0, 2)
D
(1, 3]
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