1
JEE Main 2020 (Online) 5th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If for some $$\alpha $$ $$ \in $$ R, the lines

L1 : $${{x + 1} \over 2} = {{y - 2} \over { - 1}} = {{z - 1} \over 1}$$ and

L2 : $${{x + 2} \over \alpha } = {{y + 1} \over {5 - \alpha }} = {{z + 1} \over 1}$$ are coplanar,

then the line L2 passes through the point :
A
(10, 2, 2)
B
(2, –10, –2)
C
(10, –2, –2)
D
(–2, 10, 2)
2
JEE Main 2020 (Online) 5th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The statement
$$\left( {p \to \left( {q \to p} \right)} \right) \to \left( {p \to \left( {p \vee q} \right)} \right)$$ is :
A
a tautology
B
a contradiction
C
equivalent to (p $$ \vee $$ q) $$ \wedge $$ ($$ \sim $$ p)
D
equivalent to (p $$ \wedge $$ q) $$ \vee $$ ($$ \sim $$ q)
3
JEE Main 2020 (Online) 5th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If
$$\int {{{\cos \theta } \over {5 + 7\sin \theta - 2{{\cos }^2}\theta }}} d\theta $$ = A$${\log _e}\left| {B\left( \theta \right)} \right| + C$$,

where C is a constant of integration, then $${{{B\left( \theta \right)} \over A}}$$
can be :
A
$${{2\sin \theta + 1} \over {5\left( {\sin \theta + 3} \right)}}$$
B
$${{2\sin \theta + 1} \over {\sin \theta + 3}}$$
C
$${{5\left( {2\sin \theta + 1} \right)} \over {\sin \theta + 3}}$$
D
$${{5\left( {\sin \theta + 3} \right)} \over {2\sin \theta + 1}}$$
4
JEE Main 2020 (Online) 5th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the system of linear equations
x + y + 3z = 0
x + 3y + k2z = 0
3x + y + 3z = 0
has a non-zero solution (x, y, z) for some k $$ \in $$ R, then x + $$\left( {{y \over z}} \right)$$ is equal to :
A
9
B
3
C
-9
D
-3
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