JEE Questions for Maths Limits Continuity And Differentiability Quiz 19 - MCQExams.com

Let the function f : R → R be defined by f(x) = 2x + sin x, x ∈ R. Then f is
  • One-to-one and onto
  • One -to-one but not onto
  • Onto but not one-to-one
  • Neither one-to-one nor onto
A function f from the set of natural numbers to integers defined by
Maths-Limits Continuity and Differentiability-37217.png
  • One-one but not onto
  • Onto but not one-one
  • One-one and onto both
  • Neither one-one nor onto

Maths-Limits Continuity and Differentiability-37219.png
  • One-one and onto
  • One-one but not onto
  • Onto but not one-one
  • Neither one-one nor onto

Maths-Limits Continuity and Differentiability-37221.png
  • [–1,3]
  • [1,1]
  • [0,1]
  • [0,–1]

Maths-Limits Continuity and Differentiability-37223.png
  • Injective
  • Surjective
  • Bijective
  • None of these
A mapping from IN to IN is defined as follows
f : IN → IN, f(n) = (n + 5)2 , n ∈ IN(IN is the set of natural numbers). Then
  • f is not one to one
  • f is onto
  • f is both one to one and onto
  • f is one to one but not onto
Domain of function f(x) = sin-1 5x is

  • Maths-Limits Continuity and Differentiability-37226.png
  • 2)
    Maths-Limits Continuity and Differentiability-37227.png
  • R

  • Maths-Limits Continuity and Differentiability-37228.png

Maths-Limits Continuity and Differentiability-37230.png

  • Maths-Limits Continuity and Differentiability-37231.png
  • 2)
    Maths-Limits Continuity and Differentiability-37232.png

  • Maths-Limits Continuity and Differentiability-37233.png

  • Maths-Limits Continuity and Differentiability-37234.png

Maths-Limits Continuity and Differentiability-37236.png
  • [1,9]
  • [–1,9]
  • [–9,1]
  • [–9,–1]
Domain of f(x) = log|log x| is
  • (0,∞)
  • (1, ∞)
  • (0,∪ (1,∞)
  • (–∞,1)
Function f(x) = x – [x], where [.] denotes a greatest integer function.This function is
  • A periodic function
  • A periodic function whose period is 1/2
  • A periodic function whose period is 1
  • Not a periodic function

Maths-Limits Continuity and Differentiability-37240.png
  • R
  • 2)
    Maths-Limits Continuity and Differentiability-37241.png

  • Maths-Limits Continuity and Differentiability-37242.png

  • Maths-Limits Continuity and Differentiability-37243.png

Maths-Limits Continuity and Differentiability-37245.png

  • Maths-Limits Continuity and Differentiability-37246.png
  • 2)
    Maths-Limits Continuity and Differentiability-37247.png

  • Maths-Limits Continuity and Differentiability-37248.png

  • Maths-Limits Continuity and Differentiability-37249.png

Maths-Limits Continuity and Differentiability-37251.png

  • Maths-Limits Continuity and Differentiability-37252.png
  • 2)
    Maths-Limits Continuity and Differentiability-37253.png

  • Maths-Limits Continuity and Differentiability-37254.png
  • None of these

Maths-Limits Continuity and Differentiability-37256.png

  • Maths-Limits Continuity and Differentiability-37257.png
  • 2)
    Maths-Limits Continuity and Differentiability-37258.png

  • Maths-Limits Continuity and Differentiability-37259.png

  • Maths-Limits Continuity and Differentiability-37260.png

Maths-Limits Continuity and Differentiability-37262.png

  • Maths-Limits Continuity and Differentiability-37263.png
  • 2)
    Maths-Limits Continuity and Differentiability-37264.png

  • Maths-Limits Continuity and Differentiability-37265.png

  • Maths-Limits Continuity and Differentiability-37266.png

Maths-Limits Continuity and Differentiability-37268.png

  • Maths-Limits Continuity and Differentiability-37269.png
  • 2)
    Maths-Limits Continuity and Differentiability-37270.png

  • Maths-Limits Continuity and Differentiability-37271.png

  • Maths-Limits Continuity and Differentiability-37272.png

Maths-Limits Continuity and Differentiability-37274.png

  • Maths-Limits Continuity and Differentiability-37275.png
  • 2)
    Maths-Limits Continuity and Differentiability-37276.png

  • Maths-Limits Continuity and Differentiability-37277.png

  • Maths-Limits Continuity and Differentiability-37278.png

Maths-Limits Continuity and Differentiability-37280.png

  • Maths-Limits Continuity and Differentiability-37281.png
  • 2)
    Maths-Limits Continuity and Differentiability-37282.png

  • Maths-Limits Continuity and Differentiability-37283.png

  • Maths-Limits Continuity and Differentiability-37284.png
If f : R → R is defined by f(x) = |x|,then
  • f –1 (x) = – x
  • 2)
    Maths-Limits Continuity and Differentiability-37286.png
  • The function f–1(x) does not exist

  • Maths-Limits Continuity and Differentiability-37287.png

Maths-Limits Continuity and Differentiability-37289.png

  • Maths-Limits Continuity and Differentiability-37290.png
  • 2)
    Maths-Limits Continuity and Differentiability-37291.png

  • Maths-Limits Continuity and Differentiability-37292.png

  • Maths-Limits Continuity and Differentiability-37293.png

Maths-Limits Continuity and Differentiability-37295.png

  • Maths-Limits Continuity and Differentiability-37296.png
  • 2)
    Maths-Limits Continuity and Differentiability-37297.png

  • Maths-Limits Continuity and Differentiability-37298.png

  • Maths-Limits Continuity and Differentiability-37299.png

Maths-Limits Continuity and Differentiability-37301.png

  • Maths-Limits Continuity and Differentiability-37302.png
  • 2)
    Maths-Limits Continuity and Differentiability-37303.png

  • Maths-Limits Continuity and Differentiability-37304.png

  • Maths-Limits Continuity and Differentiability-37305.png

Maths-Limits Continuity and Differentiability-37307.png

  • Maths-Limits Continuity and Differentiability-37308.png
  • 2)
    Maths-Limits Continuity and Differentiability-37309.png

  • Maths-Limits Continuity and Differentiability-37310.png

  • Maths-Limits Continuity and Differentiability-37311.png
Domain of the function f(x) = sin–1 (1 + 3x + 2x2) is

  • Maths-Limits Continuity and Differentiability-37313.png
  • 2)
    Maths-Limits Continuity and Differentiability-37314.png

  • Maths-Limits Continuity and Differentiability-37315.png

  • Maths-Limits Continuity and Differentiability-37316.png
If f(x) satisfies the relation 2f(x) + f(1 – x) = x2 for all real x, then f(x) is

  • Maths-Limits Continuity and Differentiability-37318.png
  • 2)
    Maths-Limits Continuity and Differentiability-37319.png

  • Maths-Limits Continuity and Differentiability-37320.png

  • Maths-Limits Continuity and Differentiability-37321.png

  • Maths-Limits Continuity and Differentiability-37322.png
Domain of f(x) = (x2 – 1)–1/2 is
  • None of these

  • Maths-Limits Continuity and Differentiability-37324.png
  • 2)
    Maths-Limits Continuity and Differentiability-37325.png

  • Maths-Limits Continuity and Differentiability-37326.png

Maths-Limits Continuity and Differentiability-37328.png

  • Maths-Limits Continuity and Differentiability-37329.png
  • 2)
    Maths-Limits Continuity and Differentiability-37330.png

  • Maths-Limits Continuity and Differentiability-37331.png

  • Maths-Limits Continuity and Differentiability-37332.png

Maths-Limits Continuity and Differentiability-37334.png

  • Maths-Limits Continuity and Differentiability-37335.png
  • 2)
    Maths-Limits Continuity and Differentiability-37336.png

  • Maths-Limits Continuity and Differentiability-37337.png

  • Maths-Limits Continuity and Differentiability-37338.png

Maths-Limits Continuity and Differentiability-37340.png

  • Maths-Limits Continuity and Differentiability-37341.png
  • 2)
    Maths-Limits Continuity and Differentiability-37342.png

  • Maths-Limits Continuity and Differentiability-37343.png

  • Maths-Limits Continuity and Differentiability-37344.png

Maths-Limits Continuity and Differentiability-37346.png

  • Maths-Limits Continuity and Differentiability-37347.png
  • 2)
    Maths-Limits Continuity and Differentiability-37348.png

  • Maths-Limits Continuity and Differentiability-37349.png

  • Maths-Limits Continuity and Differentiability-37350.png
If f(x) = a cos (bx + c) + d,then range of f(x) is
  • [d + a, d + 2a]
  • [a – d, a + d]
  • [d + a, a – d]
  • [d – a, d + a]

Maths-Limits Continuity and Differentiability-37353.png
  • {0,1}
  • {–1, 1}
  • R
  • R – {–2}

Maths-Limits Continuity and Differentiability-37355.png
  • [1,3]
  • 2)
    Maths-Limits Continuity and Differentiability-37356.png
  • (1,3)

  • Maths-Limits Continuity and Differentiability-37357.png

Maths-Limits Continuity and Differentiability-37359.png
  • 1/2
  • 1
  • 3/2
  • 2
  • 0

Maths-Limits Continuity and Differentiability-37361.png
  • 8
  • 4
  • –8
  • 11
  • 44

Maths-Limits Continuity and Differentiability-37363.png

  • Maths-Limits Continuity and Differentiability-37364.png
  • 2)
    Maths-Limits Continuity and Differentiability-37365.png

  • Maths-Limits Continuity and Differentiability-37366.png

  • Maths-Limits Continuity and Differentiability-37367.png

Maths-Limits Continuity and Differentiability-37369.png
  • 104
  • 100
  • 102
  • 101
  • 103
The function f : R → R is defined by f(x) = cos2 x + sin4 x for x ∈ R,then f(R) =

  • Maths-Limits Continuity and Differentiability-37371.png
  • 2)
    Maths-Limits Continuity and Differentiability-37372.png

  • Maths-Limits Continuity and Differentiability-37373.png

  • Maths-Limits Continuity and Differentiability-37374.png

Maths-Limits Continuity and Differentiability-37376.png
  • 5 and 4
  • 5 and –4
  • –5 and 4
  • None of these
Which of the following is even function ?

  • Maths-Limits Continuity and Differentiability-37378.png
  • 2)
    Maths-Limits Continuity and Differentiability-37379.png

  • Maths-Limits Continuity and Differentiability-37380.png
  • f(x) = sin x

Maths-Limits Continuity and Differentiability-37382.png
  • An even function
  • An odd function
  • A Periodic function
  • Neither an even nor odd function

Maths-Limits Continuity and Differentiability-37384.png

  • Maths-Limits Continuity and Differentiability-37385.png
  • 2)
    Maths-Limits Continuity and Differentiability-37386.png

  • Maths-Limits Continuity and Differentiability-37387.png
  • Not defined

Maths-Limits Continuity and Differentiability-37389.png

  • Maths-Limits Continuity and Differentiability-37390.png
  • 2)
    Maths-Limits Continuity and Differentiability-37391.png

  • Maths-Limits Continuity and Differentiability-37392.png

  • Maths-Limits Continuity and Differentiability-37393.png
Which of the following function has an inverse function ?

  • Maths-Limits Continuity and Differentiability-37395.png
  • 2)
    Maths-Limits Continuity and Differentiability-37396.png

  • Maths-Limits Continuity and Differentiability-37397.png

  • Maths-Limits Continuity and Differentiability-37398.png
If equation of the curve remain unchanged by replacing x and y from y and x respectively, then the curve is
  • Symmetric along x-axis
  • Symmetric along y-axis
  • Symmetric along the line y = –x
  • Symmetric along the line y = x

Maths-Limits Continuity and Differentiability-37400.png
  • 4,1
  • 4,0
  • 3,2
  • None of these

Maths-Limits Continuity and Differentiability-37402.png
  • 1
  • 0
  • –1
  • None of these

Maths-Limits Continuity and Differentiability-37404.png

  • Maths-Limits Continuity and Differentiability-37405.png
  • 2)
    Maths-Limits Continuity and Differentiability-37406.png

  • Maths-Limits Continuity and Differentiability-37407.png

  • Maths-Limits Continuity and Differentiability-37408.png

Maths-Limits Continuity and Differentiability-37410.png
  • 1
  • 2
  • 0
  • Does not exist
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Maths Quiz Questions and Answers