1
JEE Main 2020 (Online) 5th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The derivative of
$${\tan ^{ - 1}}\left( {{{\sqrt {1 + {x^2}} - 1} \over x}} \right)$$ with
respect to $${\tan ^{ - 1}}\left( {{{2x\sqrt {1 - {x^2}} } \over {1 - 2{x^2}}}} \right)$$ at x = $${1 \over 2}$$ is :
A
$${{2\sqrt 3 } \over 3}$$
B
$${{2\sqrt 3 } \over 5}$$
C
$${{\sqrt 3 } \over {10}}$$
D
$${{\sqrt 3 } \over {12}}$$
2
JEE Main 2020 (Online) 5th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If x = 1 is a critical point of the function
f(x) = (3x2 + ax – 2 – a)ex , then :
A
x = 1 is a local maxima and x = $$ - {2 \over 3}$$ is a local minima of f.
B
x = 1 and x = $$ - {2 \over 3}$$ are local maxima of f.
C
x = 1 and x = $$ - {2 \over 3}$$ are local minima of f.
D
x = 1 is a local minima and x = $$ - {2 \over 3}$$ is a local maxima of f.
3
JEE Main 2020 (Online) 5th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 questions, choosing at least one question from each section. Then the number of ways, in which the candidate can choose the questions, is :
A
2250
B
2255
C
3000
D
1500
4
JEE Main 2020 (Online) 5th September Evening Slot
Numerical
+4
-0
Change Language
Nitrogen gas is at 300oC temperature. The temperature (in K) at which the rms speed of a H2 molecule would be equal to the rms speed of a nitrogen molecule, is _______.
(Molar mass of N2 gas 28 g).
Your input ____
JEE Main Papers
2023
2021
EXAM MAP