1
JEE Main 2020 (Online) 9th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If $$\int {{{d\theta } \over {{{\cos }^2}\theta \left( {\tan 2\theta + \sec 2\theta } \right)}}} = \lambda \tan \theta + 2{\log _e}\left| {f\left( \theta \right)} \right| + C$$

where C is a constant of integration, then the ordered pair ($$\lambda $$, ƒ($$\theta $$)) is equal to :
A
(–1, 1 – tan$$\theta $$)
B
(1, 1 + tan$$\theta $$)
C
(–1, 1 + tan$$\theta $$)
D
(1, 1 – tan$$\theta $$)
2
JEE Main 2020 (Online) 9th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If p $$ \to $$ (p $$ \wedge $$ ~q) is false, then the truth values of p and q are respectively :
A
T, T
B
T, F
C
F, T
D
F, F
3
JEE Main 2020 (Online) 9th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If z be a complex number satisfying |Re(z)| + |Im(z)| = 4, then |z| cannot be :
A
$$\sqrt {10} $$
B
$$\sqrt {7} $$
C
$$\sqrt {{{17} \over 2}} $$
D
$$\sqrt {8} $$
4
JEE Main 2020 (Online) 9th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let a – 2b + c = 1.

If $$f(x)=\left| {\matrix{ {x + a} & {x + 2} & {x + 1} \cr {x + b} & {x + 3} & {x + 2} \cr {x + c} & {x + 4} & {x + 3} \cr } } \right|$$, then:
A
ƒ(50) = 1
B
ƒ(–50) = –1
C
ƒ(50) = –501
D
ƒ(–50) = 501
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