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JEE Questions for Maths Definite Integrals Quiz 4 - MCQExams.com
JEE
Maths
Definite Integrals
Quiz 4
If [
x
] denotes the greatest integer less than or equal to
x
, then the value of
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0%
3
0%
2
0%
-2
0%
-3
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0%
0%
2)
0%
0%
If [
x
] denotes the greatest integer function, the value of
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0%
5/4
0%
0
0%
3/2
0%
3/4
If [
x
] denotes the greatest integer less than or equal to
x
, then the value of
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0%
2
0%
3
0%
1
0%
4
0%
3/2
If p(
x
) be a function defined on R such that p'(
x
) = p'(1 -
x
), ∀
x
ϵ [0, 1], p(= 1 and p(= 41. Then,
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0%
√41
0%
21
0%
41
0%
42
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0%
2m + n
0%
m + 2n
0%
m - n
0%
n - m
0%
m + n
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0%
0%
2)
0%
0%
0%
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0%
I1 = I2
0%
3I1 = I2
0%
I1 = 3I2
0%
I1 = 5I2
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0%
0%
2)
0%
0%
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0%
π/2
0%
1
0%
-1
0%
- (π/2)
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0%
5/4
0%
17/4
0%
15/4
0%
4/5
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0%
- π log 2
0%
π log 2
0%
- π/2 log 2
0%
π/2 log 2
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0%
1 - x2
0%
1/2 (1 + x2)
0%
1 + x2
0%
1/2 (1 - x2)
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0%
I1 = I2
0%
I1 < I2
0%
I1 > I2
0%
I2 = I1 + π/4
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0%
2
0%
k
0%
1/2
0%
1
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0%
31/2
0%
35/2
0%
47/2
0%
39/2
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0%
0%
2)
0%
0%
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0%
value of b
0%
value of c
0%
value of a
0%
value of a and b
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0%
0
0%
π
0%
π/4
0%
2π
0%
3π
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0%
0%
0
0%
0%
a
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0%
the value of p
0%
the value of q
0%
the value of r
0%
the values of p and q
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0%
π/3
0%
π/2
0%
1/2
0%
π/4
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0%
0
0%
1
0%
2
0%
3
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0%
160.05
0%
1600.5
0%
16.005
0%
None of these
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0%
I3 > I4
0%
I3 = I4
0%
I1 > I2
0%
I2 > I1
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0%
5π/8
0%
5π/16
0%
5π/2
0%
5π/4
0%
5π/32
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0%
2π
0%
π/2
0%
0
0%
-π
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0%
0
0%
4/3
0%
2/3
0%
1/5
If
f
(
x
) =
f
(a -
x
) and g(
x
) + g(a -
x
) = 2, then the value of
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0%
0%
2)
0%
0%
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0%
3/2
0%
2
0%
1
0%
2
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0%
0%
2)
0%
0%
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0%
0%
2)
0%
0%
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0%
1/2
0%
-2
0%
1
0%
-1
0%
2
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0%
2 - √2
0%
2 + √2
0%
√2 - 1
0%
-√2 - √3
0%
None of these
If
f
(
x
) =
x
- [
x
], for every
x
, where [
x
] is the greatest integer less than or equation to
x
. Then,
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0%
1
0%
2
0%
3
0%
0
0%
1/2
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0%
1
0%
-1
0%
π/2
0%
π/4
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0%
0%
2)
0%
0%
None of these
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0%
20
0%
8
0%
10
0%
18
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0%
0
0%
2
0%
4
0%
-4
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0%
|b| - |a|
0%
|b| + |a|
0%
|a - b|
0%
None of these
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0%
0
0%
3
0%
4
0%
1
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0%
1/2 tan 1
0%
tan 1
0%
1/2 cosec 1
0%
1/2 sec 1
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0%
n
0%
2n
0%
-2n
0%
None of these
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0%
π log 2
0%
0
0%
-π log 2
0%
None of these
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0%
π/4
0%
π/2
0%
3π/2
0%
2π
0%
π
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0%
π/96
0%
5/192
0%
5π/256
0%
5π/192
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0%
-8/3
0%
8/3
0%
0
0%
3/8
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0%
4/5
0%
8/5
0%
8/15
0%
4/5
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0%
0%
2)
0%
0%
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0%
3π/16
0%
3π2/16
0%
16π/3
0%
16π2/3
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