1
JEE Main 2020 (Online) 4th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Contrapositive of the statement :
‘If a function f is differentiable at a, then it is also continuous at a’, is:
A
If a function f is continuous at a, then it is not differentiable at a.
B
If a function f is not continuous at a, then it is differentiable at a.
C
If a function f is not continuous at a, then it is not differentiable at a.
D
If a function f is continuous at a, then it is differentiable at a.
2
JEE Main 2020 (Online) 4th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The minimum value of 2sinx + 2cosx is :
A
$${2^{-1 + \sqrt 2 }}$$
B
$${2^{1 - {1 \over {\sqrt 2 }}}}$$
C
$${2^{1 - \sqrt 2 }}$$
D
$${2^{-1 + {1 \over {\sqrt 2 }}}}$$
3
JEE Main 2020 (Online) 4th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $$f:\left( {0,\infty } \right) \to \left( {0,\infty } \right)$$ be a differentiable function such that f(1) = e and
$$\mathop {\lim }\limits_{t \to x} {{{t^2}{f^2}(x) - {x^2}{f^2}(t)} \over {t - x}} = 0$$. If f(x) = 1, then x is equal to :
A
$${1 \over e}$$
B
e
C
$${1 \over 2e}$$
D
2e
4
JEE Main 2020 (Online) 4th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the x-axis and vertices C and D lie on the parabola, y = x2–1 below the x-axis, is :
A
$${1 \over {3\sqrt 3 }}$$
B
$${2 \over {3\sqrt 3 }}$$
C
$${4 \over {3\sqrt 3 }}$$
D
$${4 \over 3}$$
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