1
JEE Main 2020 (Online) 8th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
$$\mathop {\lim }\limits_{x \to 0} {\left( {{{3{x^2} + 2} \over {7{x^2} + 2}}} \right)^{{1 \over {{x^2}}}}}$$ is equal to
A
e
B
e2
C
$${1 \over {{e^2}}}$$
D
$${1 \over e}$$
2
JEE Main 2020 (Online) 8th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let ƒ(x) = (sin(tan–1x) + sin(cot–1x))2 – 1, |x| > 1.
If $${{dy} \over {dx}} = {1 \over 2}{d \over {dx}}\left( {{{\sin }^{ - 1}}\left( {f\left( x \right)} \right)} \right)$$ and $$y\left( {\sqrt 3 } \right) = {\pi \over 6}$$, then y($${ - \sqrt 3 }$$) is equal to :
A
$${{5\pi } \over 6}$$
B
$$ - {\pi \over 6}$$
C
$${\pi \over 3}$$
D
$${{2\pi } \over 3}$$
3
JEE Main 2020 (Online) 8th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let ƒ : R $$ \to $$ R be such that for all x $$ \in $$ R
(21+x + 21–x), ƒ(x) and (3x + 3–x) are in A.P.,
then the minimum value of ƒ(x) is
A
2
B
0
C
3
D
4
4
JEE Main 2020 (Online) 8th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If a, b and c are the greatest value of 19Cp, 20Cq and 21Cr respectively, then :
A
$${a \over {11}} = {b \over {22}} = {c \over {21}}$$
B
$${a \over {10}} = {b \over {22}} = {c \over {21}}$$
C
$${a \over {10}} = {b \over {11}} = {c \over {42}}$$
D
$${a \over {11}} = {b \over {22}} = {c \over {42}}$$
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