1
JEE Main 2020 (Online) 6th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Let f : R $$ \to $$ R be a function defined by
f(x) = max {x, x2}. Let S denote the set of all points in R, where f is not differentiable. Then :
A
{0, 1}
B
{0}
C
$$\phi $$(an empty set)
D
{1}
2
JEE Main 2020 (Online) 6th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Consider the statement :
‘‘For an integer n, if n3 – 1 is even, then n is odd.’’
The contrapositive statement of this statement is :
A
For an integer n, if n is even, then n3 – 1 is even.
B
For an integer n, if n3 – 1 is not even, then n is not odd.
C
For an integer n, if n is odd, then n3 – 1 is even.
D
For an integer n, if n is even, then n3 – 1 is odd.
3
JEE Main 2020 (Online) 6th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
If the tangent to the curve, y = f (x) = xloge x,
(x > 0) at a point (c, f(c)) is parallel to the line-segment
joining the points (1, 0) and (e, e), then c is equal to :
A
$${{e - 1} \over e}$$
B
$${e^{\left( {{1 \over {1 - e}}} \right)}}$$
C
$${e^{\left( {{1 \over {e - 1}}} \right)}}$$
D
$${1 \over {e - 1}}$$
4
JEE Main 2020 (Online) 6th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
For all twice differentiable functions f : R $$ \to $$ R,
with f(0) = f(1) = f'(0) = 0
A
f''(x) $$ \ne $$ 0, at every point x $$ \in $$ (0, 1)
B
f''(x) = 0, for some x $$ \in $$ (0, 1)
C
f''(0) = 0
D
f''(x) = 0, at every point x $$ \in $$ (0, 1)
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