1
JEE Main 2020 (Online) 2nd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let S be the set of all $$\lambda $$ $$ \in $$ R for which the system of linear equations

2x – y + 2z = 2
x – 2y + $$\lambda $$z = –4
x + $$\lambda $$y + z = 4

has no solution. Then the set S :
A
contains more than two elements.
B
contains exactly two elements.
C
is a singleton.
D
is an empty set.
2
JEE Main 2020 (Online) 2nd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let A be a 2 $$ \times $$ 2 real matrix with entries from {0, 1} and |A| $$ \ne $$ 0. Consider the following two statements :

(P) If A $$ \ne $$ I2 , then |A| = –1
(Q) If |A| = 1, then tr(A) = 2,

where I2 denotes 2 $$ \times $$ 2 identity matrix and tr(A) denotes the sum of the diagonal entries of A. Then :
A
(P) is true and (Q) is false
B
Both (P) and (Q) are false
C
Both (P) and (Q) are true
D
(P) is false and (Q) is true
3
JEE Main 2020 (Online) 2nd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The contrapositive of the statement
"If I reach the station in time, then I will catch the train" is :
A
If I will catch the train, then I reach the station in time.
B
If I do not reach the station in time, then I will not catch the train.
C
If I will not catch the train, then I do not reach the station in time.
D
If I do not reach the station in time, then I will catch the train.
4
JEE Main 2020 (Online) 2nd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let y = y(x) be the solution of the differential equation,
$${{2 + \sin x} \over {y + 1}}.{{dy} \over {dx}} = - \cos x$$, y > 0,y(0) = 1.
If y($$\pi $$) = a and $${{dy} \over {dx}}$$ at x = $$\pi $$ is b, then the ordered pair (a, b) is equal to :
A
(2, 1)
B
$$\left( {2,{3 \over 2}} \right)$$
C
(1, -1)
D
(1, 1)
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