1
JEE Main 2020 (Online) 5th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If S is the sum of the first 10 terms of the series

$${\tan ^{ - 1}}\left( {{1 \over 3}} \right) + {\tan ^{ - 1}}\left( {{1 \over 7}} \right) + {\tan ^{ - 1}}\left( {{1 \over {13}}} \right) + {\tan ^{ - 1}}\left( {{1 \over {21}}} \right) + ....$$

then tan(S) is equal to :
A
$${10 \over {11}}$$
B
$${5 \over {11}}$$
C
-$${6 \over {5}}$$
D
$${5 \over {6}}$$
2
JEE Main 2020 (Online) 5th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If y = y(x) is the solution of the differential

equation $${{5 + {e^x}} \over {2 + y}}.{{dy} \over {dx}} + {e^x} = 0$$ satisfying y(0) = 1, then a value of y(loge13) is :
A
-1
B
1
C
0
D
2
3
JEE Main 2020 (Online) 5th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The product of the roots of the
equation 9x2 - 18|x| + 5 = 0 is :
A
$${{5} \over {9}}$$
B
$${{5} \over {27}}$$
C
$${{25} \over {81}}$$
D
$${{25} \over {9}}$$
4
JEE Main 2020 (Online) 5th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $$\lambda \in $$ R . The system of linear equations
2x1 - 4x2 + $$\lambda $$x3 = 1
x1 - 6x2 + x3 = 2
$$\lambda $$x1 - 10x2 + 4x3 = 3
is inconsistent for:
A
exactly one positive value of $$\lambda $$
B
exactly one negative value of $$\lambda $$
C
exactly two values of $$\lambda $$
D
every value of $$\lambda $$
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