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JEE Questions for Maths Limits Continuity And Differentiability Quiz 1 - MCQExams.com
JEE
Maths
Limits Continuity And Differentiability
Quiz 1
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0%
n/m
0%
m/n
0%
2m/n
0%
2n/m
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0%
discontinuous at some x
0%
2)
0%
0%
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0%
0%
2)
0%
0%
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0%
3/5
0%
5/3
0%
-3/5
0%
-5/3
0%
1
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0%
a = 2
0%
a = 1
0%
a = 1/3
0%
None of these
If g(
x
) = (
x
2
+ 2
x
+f(
x
), f(= 5 and
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0%
22
0%
18
0%
20
0%
25
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0%
0%
2)
0%
0%
none of these
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0%
–5
0%
2)
0%
5
0%
none of these
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0%
1/3
0%
1/5
0%
1/6
0%
6
If
f
: R → R is such that
f
(= 3 and
f
' (= 6. Then,
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0%
1
0%
e1/2
0%
e2
0%
e3
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0%
does not exist
0%
is equal to loge(π2)
0%
is equal to 1
0%
lies between 10 and 11
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0%
a – b
0%
a + b
0%
ln a – ln b
0%
none of these
If function f(
x
) is difference at
x
= a, then
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0%
2a + f(a) + a2 f'(a)
0%
-a2 f'(a)
0%
af (a) - a2 f' (a)
0%
2af (a) - a2 f'(a)
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0%
0
0%
2
0%
1/3
0%
∞
0%
1/4
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0%
e4
0%
e2
0%
e3
0%
e
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0%
25/2
0%
12
0%
1
0%
1/4
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0%
- (1/4)
0%
- (1/2)
0%
0
0%
2/9
If f(= 7 and f'(= 7, then
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0%
35
0%
-35
0%
28
0%
-28
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0%
1/8√3
0%
1/√3
0%
8√3
0%
√3
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0%
0
0%
1
0%
2
0%
3
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0%
0
0%
2)
0%
0%
none of these
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0%
1
0%
0
0%
–1
0%
none of these
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0%
4/5
0%
5/4
0%
2
0%
1
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0%
10
0%
15
0%
-15
0%
-10
If f(= 2 and f'(= 1, then the value of
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0%
-1
0%
0
0%
1
0%
2
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0%
1
0%
0
0%
-1
0%
None of these
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0%
2
0%
4
0%
1
0%
1/2
0%
3
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0%
- ∞
0%
10√2
0%
+ ∞
0%
does not exist
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0%
0
0%
1
0%
-1
0%
does not exist
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0%
1
0%
2
0%
4
0%
5
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0%
8 f '(1)
0%
4 f '(1)
0%
2 f '(1)
0%
f '(1)
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0%
a = 1 and b = 1
0%
a = 1 and b = - 1
0%
a = 1 and b = -2
0%
a = 1 and b = 2
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0%
e2
0%
e-2
0%
e6
0%
None of these
If
f
: R → R be a differentiable function having
f
(= 6, f'(= (1/48). Then
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0%
18
0%
12
0%
36
0%
24
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0%
loge (a/b)
0%
loge (b/a)
0%
loge (ab)
0%
loge (a+b)
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0%
1/e
0%
- (1/e)
0%
1
0%
None of these
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0%
e
0%
e - 1
0%
1 - e
0%
e + 1
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0%
a ϵ R and b ϵ R
0%
a = 1 and b ϵ R
0%
a ϵ R and b = 2
0%
a = 1 and b = 2
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0%
(log a)2
0%
log a
0%
0
0%
None of these
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0%
0
0%
1
0%
1/2
0%
None of these
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0%
e4
0%
e2
0%
e3
0%
e
If
f
(= 4 and
f
'(= 4. Then,
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0%
2
0%
-2
0%
-4
0%
3
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0%
e12
0%
e-12
0%
e4
0%
e3
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0%
∞
0%
1/2
0%
4
0%
1
Let [.] denote the greatest integer function and f (x) = [tan
2
x], then:
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0%
0%
f (x) is continuous at x = 0
0%
f (x) is not differentiable at x = 0
0%
f ' (= 1
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0%
1
0%
2
0%
-1
0%
-2
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0%
a + b
0%
a - b
0%
eab
0%
1
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0%
1/2√a
0%
1/4√a
0%
1/3√a
0%
2/√a
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0%
1
0%
0
0%
e
0%
(1/e)
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0%
0
0%
-1
0%
1
0%
2
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Incorrect : 0
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