JEE Questions for Maths Limits Continuity And Differentiability Quiz 16 - MCQExams.com


Maths-Limits Continuity and Differentiability-36797.png

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  • Maths-Limits Continuity and Differentiability-36801.png

Maths-Limits Continuity and Differentiability-36803.png
  • 0
  • –1
  • 1
  • Does not exist

Maths-Limits Continuity and Differentiability-36805.png

  • Maths-Limits Continuity and Differentiability-36806.png
  • 2)
    Maths-Limits Continuity and Differentiability-36807.png

  • Maths-Limits Continuity and Differentiability-36808.png
  • e

Maths-Limits Continuity and Differentiability-36810.png
  • 1
  • 2)
    Maths-Limits Continuity and Differentiability-36811.png

  • Maths-Limits Continuity and Differentiability-36812.png

  • Maths-Limits Continuity and Differentiability-36813.png

Maths-Limits Continuity and Differentiability-36815.png

  • Maths-Limits Continuity and Differentiability-36816.png
  • 2)
    Maths-Limits Continuity and Differentiability-36817.png

  • Maths-Limits Continuity and Differentiability-36818.png

  • Maths-Limits Continuity and Differentiability-36819.png

Maths-Limits Continuity and Differentiability-36821.png

  • Maths-Limits Continuity and Differentiability-36822.png
  • 0

  • Maths-Limits Continuity and Differentiability-36823.png

  • Maths-Limits Continuity and Differentiability-36824.png

Maths-Limits Continuity and Differentiability-36826.png
  • 4
  • 2
  • 1
  • 0

Maths-Limits Continuity and Differentiability-36828.png
  • 3
  • 2
  • 1
  • 0

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  • Maths-Limits Continuity and Differentiability-36831.png
  • 2)
    Maths-Limits Continuity and Differentiability-36832.png

  • Maths-Limits Continuity and Differentiability-36833.png

  • Maths-Limits Continuity and Differentiability-36834.png

Maths-Limits Continuity and Differentiability-36836.png

  • Maths-Limits Continuity and Differentiability-36837.png
  • 2)
    Maths-Limits Continuity and Differentiability-36838.png

  • Maths-Limits Continuity and Differentiability-36839.png
  • None of these

Maths-Limits Continuity and Differentiability-36841.png
  • (–1, –1)
  • (0, 0)
  • (–1, 1)
  • (1, 1)

Maths-Limits Continuity and Differentiability-36843.png
  • Onto if f is onto
  • One –one if f one-one
  • Continuous if f is continuous
  • Differentiable if f is differentiable

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  • 2)
    Maths-Limits Continuity and Differentiability-36847.png

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  • Maths-Limits Continuity and Differentiability-36849.png

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  • Maths-Limits Continuity and Differentiability-36852.png
  • 2)
    Maths-Limits Continuity and Differentiability-36853.png

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  • Maths-Limits Continuity and Differentiability-36855.png

Maths-Limits Continuity and Differentiability-36857.png
  • 25
  • 26
  • 27
  • None of these

Maths-Limits Continuity and Differentiability-36859.png
  • {–1, 1}
  • {–1, 0}
  • {0, 1}
  • {–1, 0, 1}

Maths-Limits Continuity and Differentiability-36861.png

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  • 2)
    Maths-Limits Continuity and Differentiability-36863.png

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  • 2)
    Maths-Limits Continuity and Differentiability-36869.png

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  • 2)
    Maths-Limits Continuity and Differentiability-36875.png

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  • 2)
    Maths-Limits Continuity and Differentiability-36881.png

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  • Maths-Limits Continuity and Differentiability-36883.png

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  • 0
  • 1
  • x
  • None of these

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  • 0
  • 2)
    Maths-Limits Continuity and Differentiability-36888.png

  • Maths-Limits Continuity and Differentiability-36889.png
  • None of the above

Maths-Limits Continuity and Differentiability-36891.png
  • 1
  • 2
  • 3
  • –2

Maths-Limits Continuity and Differentiability-36893.png
  • 0
  • 1
  • –1
  • Does not exist

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  • 2)
    Maths-Limits Continuity and Differentiability-36897.png

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  • 2)
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  • 2
  • 4
  • 6
  • 8

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  • f is continuous and differentiable at every point
  • f is continuous at every point but is not differentiable
  • f is differentiable at every point
  • f is differentiable only at the origin
If f(x) = |x – 3|, then f is
  • Discontinuous at x = 2
  • Not differentiable x = 2
  • Differentiable at x = 3
  • Continuous but not differentiable at x = 3
Let f : (–1,→ R be a differentiable function with f(= –1 and f\'(= 1.Let g(x) = [f(2f(x)+2)]2. Then g\' (=
  • 4
  • – 4
  • 0
  • – 2
There exist a function f(x) satisfying f(= 1,f\'(= -1, f(x) > 0 for all x and

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  • Continuous at all x, 0 ≤ x ≤ 2 and differentiable at all x, except x = 1 in the interval [0, 2]
  • Continuous and differentiable at all x in [0, 2]
  • Not continuous at any point in [0, 2]
  • Not differentiable at any point [0, 2]
The function defined by
Maths-Limits Continuity and Differentiability-36919.png
  • Continuous at x = 1
  • Continuous at x = 3
  • Differentiable at x = 1
  • All of these

Maths-Limits Continuity and Differentiability-36921.png
  • (–3, –1)
  • (–3, 1)
  • (3,1)
  • (3, –1)
The function y = |sin x| is continuous for any x but it is not differentiable at
  • x = 0 only
  • x = π only
  • x = kπ (k is an integer) only
  • x = 0 and x = kπ (k is an integer)
The function y = e–|x| is
  • Continuous and differentiable at x = 0
  • Neither continuous nor differentiable at x = 0
  • Continuous but not differentiable at x = 0
  • Not continuous but differentiable at x = 0
A function f(x) is defined as follows for real x
Maths-Limits Continuity and Differentiability-36925.png
  • f(x) is not continuous at x = 1
  • f(x) is continuous but not differentiable at x = 1
  • f(x) is both continuous and differentiable at x = 0
  • f(x) is continuous everywhere but differentiable no where

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  • 0
  • 1
  • 2
  • Does not exist

Maths-Limits Continuity and Differentiability-36935.png
  • f is continuous but not differentiable
  • f is differentiable but not continuous
  • f ’ is continuous but not differentiable
  • f ’ is continuous and differentiable

Maths-Limits Continuity and Differentiability-36937.png
  • f(x) is differentiable at x = 0
  • f(x) is continuous at x = 0
  • f(x) is differentiable at x = 1
  • f(x) is continuous at x = 1
  • Both (and (4)
Which of the following is not true
  • A polynomial function is always continuous
  • A continuous function is always differentiable
  • A differentiable function is always continuous
  • ex is continuous for all x

Maths-Limits Continuity and Differentiability-36939.png
  • – 1/9
  • – 2/9
  • – 1/3
  • 1/3

Maths-Limits Continuity and Differentiability-36941.png
  • 0
  • 1
  • 2
  • Does not exist

Maths-Limits Continuity and Differentiability-36943.png
  • 1
  • –1
  • 0
  • None of these

Maths-Limits Continuity and Differentiability-36945.png
  • 5
  • 6
  • 3
  • 4
If f is a real valued differentiable function satisfying |f(x) – f(y)| ≤ (x – y)2 , x,y ϵ R and f(= 0, then f(equal
  • 2
  • 1
  • –1
  • 0
Let f(x + y) = f(x) f(y) and f(x) = 1 + sin (3x)g(x), where g(x) is continuous, then f\'(x) is
  • f(x) g(0)
  • 3g(0)
  • f(x) cos 3x
  • 3f(x) g(0)

Maths-Limits Continuity and Differentiability-36949.png
  • Does not exist
  • 1
  • –1
  • ∞

Maths-Limits Continuity and Differentiability-36952.png
  • 1
  • –1
  • 0
  • Does not exist
0:0:1


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