JEE Questions for Maths Limits Continuity And Differentiability Quiz 7

Maths-Limits Continuity and Differentiability-35248.png

0%
0%
2)
0%
f(x) is continuous at x = 0
0%
None of these

Maths-Limits Continuity and Differentiability-35252.png

0%
1
0%
2
0%
4
0%
None of these

Maths-Limits Continuity and Differentiability-35254.png

0%
0
0%
1
0%
0%
None of these

The function f(x) = x – |x – x²| is

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Not defined at x = 1
0%
Continuous at x = 1
0%
Discontinuous at x = 1
0%
None of these

Maths-Limits Continuity and Differentiability-35258.png

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f(x) is continuous at x = a
0%
f(x) is discontinuous at x = a
0%
0%
None of the above

f(x) = x + |x| is continuous for

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x ∈ (–∞, ∞)
0%
x ∈ (–∞,∞) – {0}
0%
Only x > 0
0%
No value of x

Maths-Limits Continuity and Differentiability-35262.png

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x = 2 only
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x ≤ 2
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x ≥ 2
0%
None of these

Maths-Limits Continuity and Differentiability-35264.png

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–1
0%
0
0%
1
0%
None of these

Maths-Limits Continuity and Differentiability-35266.png

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0
0%
5
0%
10
0%
25

Maths-Limits Continuity and Differentiability-35268.png

0%
0%
2)
0%
0%

Maths-Limits Continuity and Differentiability-35274.png

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5
0%
4
0%
6
0%
3

Maths-Limits Continuity and Differentiability-35276.png

0%
0
0%
log 2
0%
log 4
0%
e4

Maths-Limits Continuity and Differentiability-35278.png

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–2
0%
–1
0%
0
0%
1

The value of b and c for which the identity f(x +– f(x) = 8x + 3 is satisfied, where f(x) = bx² + cx + d, are

0%
b = 2, c = 1
0%
b = 4, c = –1
0%
b = –1, c = 4
0%
b = –1, c = 1

The equivalent function of log x² is

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2 log x
0%
2 log |x|
0%
|log x2 |
0%
(log x)2

Maths-Limits Continuity and Differentiability-35282.png

0%
0%
2)
0%
0%

Maths-Limits Continuity and Differentiability-35288.png

0%
x
0%
–x
0%
x/2
0%
–1/x

Maths-Limits Continuity and Differentiability-35290.png

0%
1
0%
–2
0%
0
0%
+2

The graph of the function y = f(x) is symmetrical about the line x = 2, then

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f(x) = –f(–x)
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f(2 + x) = f(2 – x)
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f(x) = f(–x)
0%
f(x += f(x – 2)

Maths-Limits Continuity and Differentiability-35293.png

0%
x
0%
x + 1
0%
x – 1
0%
1 – x

Let x be a non-zero rational number and y be an irrational number. Then xy is

0%
Rational
0%
Irrational
0%
Non-zero
0%
None of these

Mapping f : R → R which is defined as f(x) = cos x, x ∈ R will be

0%
Neither one-one nor onto
0%
One-one
0%
Onto
0%
One-one onto

Which of the four statements given below is different from others ?

0%
f : A → B
0%
f : x → f(x)
0%
f is mapping of A into B
0%
f is a function of A into B

Set A has 3 elements and set B has 4 elements.The number of injection that can be defined from A to B is

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144
0%
12
0%
24
0%
64

The function f : R → R defined by f (x) = e^x is

0%
Onto
0%
Many-one
0%
One-one and into
0%
Many one and onto

Which one of the following is a bijective function on the set of real numbers ?

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2x – 5
0%
|x|
0%
x2
0%
x2 + 1

If R denotes the set of all real numbers then the function f : R → R defined as f(x) = [x] will be

0%
One-one only
0%
Onto only
0%
both one-one and Onto
0%
Neither one-one nor onto

Maths-Limits Continuity and Differentiability-35301.png

0%
Surjection
0%
Bijection
0%
One-one
0%
None of these

If f(x) is periodic function with period T then the function f(ax + b) where a > 0,is periodic with period

0%
T/b
0%
aT
0%
bT
0%
T/a

If f(x) = ax + b and g(x) = cx + d, then f{g(x)} = g{f(x)} is equivalent to

0%
f(a) = g(c)
0%
f(b) = g(b)
0%
f(d) = g(b)
0%
f(c) = g(a)

The domain of the function cos^-1 {log₂ (x² + 5x + 8)} is

0%
[2,3]
0%
[–2,2]
0%
[3,1]
0%
(–2,2)
0%
[–3,2]

If f(x) = 2x⁶ + 3x⁴ + 4x², then f \' (x) is

0%
Even function
0%
An odd function
0%
Neither even nor odd
0%
None of these

Domain of the function log |x² – 9| is

0%
R
0%
R – [–3,3]
0%
R – {–3,3}
0%
None of these

Maths-Limits Continuity and Differentiability-35306.png

0%
0%
2)
0%
0%

If the domain of function f(x) = x² – 6x + 7 is (–∞,∞), then the range of function is

0%
(–∞, ∞)
0%
[–2, ∞)
0%
(–2, 3)
0%
(–∞, –2)

Maths-Limits Continuity and Differentiability-35313.png

0%
0%
2)
0%
0%

Range of f(x) = [x] – x is

0%
[0, 1]
0%
(–1, 0]
0%
R
0%
(–1, 1)

The range of f(x) = cos (x/is

0%
(–1/3, 1/3)
0%
[–1, 1]
0%
(1/3, –1/3)
0%
(–3, 3)

The range of f(x) = cos x – sin x is

0%
(–1, 1)
0%
[–1,1)
0%
0%

Let f : (2,→ (0,be defined by f(x) = x – [x], then f ^–1(x) equals

0%
x – 2
0%
x + 1
0%
x – 1
0%
x + 2

The range of f(x) = cos 2x – sin 2x contains the set

0%
[2,4]
0%
[–1,1]
0%
[–2,2]
0%
[–4,4]

Maths-Limits Continuity and Differentiability-35326.png

0%
(0,2)
0%
[0,1]
0%
(1,2)
0%
[2,∞)

Maths-Limits Continuity and Differentiability-35328.png

0%
Even function
0%
Odd function
0%
Neither even nor odd
0%
Periodic function

Which of the following function is invertible

0%
f(x) = 2x
0%
f(x) = x3 – x
0%
f(x) = x2
0%
None of these

Maths-Limits Continuity and Differentiability-35330.png

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f(y)
0%
2f(y)
0%
0%
None of these

Maths-Limits Continuity and Differentiability-35333.png

0%
(–1,0)
0%
(–1,1)
0%
[0,1)
0%
(1, 1)

Maths-Limits Continuity and Differentiability-35335.png

0%
0%
2)
0%
0%

Let f(θ) = sin θ (sin θ + sin 3θ), then f(θ)

0%
0%
2)
0%
0%

Maths-Limits Continuity and Differentiability-35346.png

0%
1
0%
-1
0%
2
0%
4

Maths-Limits Continuity and Differentiability-35348.png

0%
0
0%
1
0%
2
0%
–2

JEE Questions for Maths Limits Continuity And Differentiability Quiz 7 - MCQExams.com

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Practice Maths Quiz Questions and Answers

JEE Questions for Maths Limits Continuity And Differentiability Quiz 7 - MCQExams.com

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Practice Maths Quiz Questions and Answers

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