JEE Questions for Maths Limits Continuity And Differentiability Quiz 21 - MCQExams.com


Maths-Limits Continuity and Differentiability-37565.png
  • 0
  • m/n
  • mn
  • None of these

Maths-Limits Continuity and Differentiability-37567.png

  • Maths-Limits Continuity and Differentiability-37568.png
  • 2)
    Maths-Limits Continuity and Differentiability-37569.png

  • Maths-Limits Continuity and Differentiability-37570.png
  • None of these

Maths-Limits Continuity and Differentiability-37572.png
  • sin a
  • cos a
  • – sin a

  • Maths-Limits Continuity and Differentiability-37573.png

Maths-Limits Continuity and Differentiability-37575.png
  • e2
  • e
  • e–2
  • e–1

Maths-Limits Continuity and Differentiability-37577.png
  • 0
  • ∞
  • 2
  • 1/2

Maths-Limits Continuity and Differentiability-37579.png
  • 3
  • 4
  • 5
  • 6

Maths-Limits Continuity and Differentiability-37581.png

  • Maths-Limits Continuity and Differentiability-37582.png
  • 2)
    Maths-Limits Continuity and Differentiability-37583.png

  • Maths-Limits Continuity and Differentiability-37584.png

  • Maths-Limits Continuity and Differentiability-37585.png

Maths-Limits Continuity and Differentiability-37587.png

  • Maths-Limits Continuity and Differentiability-37588.png
  • –1
  • 1

  • Maths-Limits Continuity and Differentiability-37589.png

Maths-Limits Continuity and Differentiability-37591.png
  • 0
  • 1/2
  • 1
  • None of these

Maths-Limits Continuity and Differentiability-37593.png
  • 0
  • 1
  • 2
  • Does not exist

Maths-Limits Continuity and Differentiability-37595.png

  • Maths-Limits Continuity and Differentiability-37596.png
  • 2)
    Maths-Limits Continuity and Differentiability-37597.png

  • Maths-Limits Continuity and Differentiability-37598.png

  • Maths-Limits Continuity and Differentiability-37599.png

Maths-Limits Continuity and Differentiability-37601.png
  • 2
  • –2
  • 1/2
  • –1/2

Maths-Limits Continuity and Differentiability-37603.png
  • 10/3
  • 3/10
  • 6/5
  • 5/6

Maths-Limits Continuity and Differentiability-37605.png
  • e
  • e–1
  • e–5
  • e5

Maths-Limits Continuity and Differentiability-37607.png
  • Does not exist
  • 2)
    Maths-Limits Continuity and Differentiability-37608.png

  • Maths-Limits Continuity and Differentiability-37609.png

  • Maths-Limits Continuity and Differentiability-37610.png

Maths-Limits Continuity and Differentiability-37612.png
  • 0
  • 1

  • Maths-Limits Continuity and Differentiability-37613.png

  • Maths-Limits Continuity and Differentiability-37614.png

Maths-Limits Continuity and Differentiability-37616.png
  • –1
  • 1
  • 0
  • None of these

Maths-Limits Continuity and Differentiability-37618.png
  • –π
  • π
  • π/2
  • 1

Maths-Limits Continuity and Differentiability-37620.png
  • 2
  • 3
  • Does not exist
  • None of these

Maths-Limits Continuity and Differentiability-37622.png
  • loge 3
  • 0
  • 1
  • log3 e

Maths-Limits Continuity and Differentiability-37624.png
  • e–1/3
  • e–2/3
  • e–1
  • e–2

Maths-Limits Continuity and Differentiability-37626.png
  • Has value –1
  • Has value 0
  • Has value 1
  • Does not exist

Maths-Limits Continuity and Differentiability-37628.png

  • Maths-Limits Continuity and Differentiability-37629.png
  • 2)
    Maths-Limits Continuity and Differentiability-37630.png
  • log (ab)
  • log (a + b)

Maths-Limits Continuity and Differentiability-37632.png
  • 0
  • ∞
  • –1/2
  • None of these

Maths-Limits Continuity and Differentiability-37634.png

  • Maths-Limits Continuity and Differentiability-37635.png
  • 2)
    Maths-Limits Continuity and Differentiability-37636.png

  • Maths-Limits Continuity and Differentiability-37637.png

  • Maths-Limits Continuity and Differentiability-37638.png

Maths-Limits Continuity and Differentiability-37640.png
  • Does not exist
  • Is equal to –3/2
  • Is equal to 3/2
  • Is equal to 3

Maths-Limits Continuity and Differentiability-37642.png
  • 3
  • 4
  • ∞
  • e

Maths-Limits Continuity and Differentiability-37644.png
  • n
  • 2)
    Maths-Limits Continuity and Differentiability-37645.png

  • Maths-Limits Continuity and Differentiability-37646.png

  • Maths-Limits Continuity and Differentiability-37647.png

Maths-Limits Continuity and Differentiability-37649.png
  • 1
  • 2)
    Maths-Limits Continuity and Differentiability-37650.png

  • Maths-Limits Continuity and Differentiability-37651.png
  • 3

Maths-Limits Continuity and Differentiability-37653.png
  • 3
  • 4
  • 1
  • 2

Maths-Limits Continuity and Differentiability-37655.png

  • Maths-Limits Continuity and Differentiability-37656.png
  • 2)
    Maths-Limits Continuity and Differentiability-37657.png
  • 0

  • Maths-Limits Continuity and Differentiability-37658.png

Maths-Limits Continuity and Differentiability-37660.png
  • 1
  • 2
  • 3
  • π

Maths-Limits Continuity and Differentiability-37662.png
  • a = 1, b = 4
  • a = 1, b = –4
  • a = 2, b = –3
  • a = 2, b = 3
If f(x) = x2 - 1 and g(x) = 3x + 1, then (gof) (x) =
  • x2 – 1
  • 2x2 – 1
  • 3x2 – 2
  • 2x2 + 2

Maths-Limits Continuity and Differentiability-37665.png

  • Maths-Limits Continuity and Differentiability-37666.png
  • 2)
    Maths-Limits Continuity and Differentiability-37667.png

  • Maths-Limits Continuity and Differentiability-37668.png

  • Maths-Limits Continuity and Differentiability-37669.png

Maths-Limits Continuity and Differentiability-37671.png
  • e2x
  • 2)
    Maths-Limits Continuity and Differentiability-37672.png

  • Maths-Limits Continuity and Differentiability-37673.png
  • x

Maths-Limits Continuity and Differentiability-37675.png
  • {0,1}
  • {1,2}
  • {–3, –2}
  • {2,3}

Maths-Limits Continuity and Differentiability-37677.png

  • Maths-Limits Continuity and Differentiability-37678.png
  • 2)
    Maths-Limits Continuity and Differentiability-37679.png

  • Maths-Limits Continuity and Differentiability-37680.png

  • Maths-Limits Continuity and Differentiability-37681.png

Maths-Limits Continuity and Differentiability-37683.png

  • Maths-Limits Continuity and Differentiability-37684.png
  • 2)
    Maths-Limits Continuity and Differentiability-37685.png

  • Maths-Limits Continuity and Differentiability-37686.png
  • None of these

Maths-Limits Continuity and Differentiability-37688.png
  • –5 < P < 5
  • P < 5
  • P > 5
  • None of these
If g(x) = x2 + x – 2 and 1/2 gof (x) = 2x2 – 5x + 2, then f(x) is
  • 2x – 3
  • 2x + 3
  • 2x2 + 3x + 1
  • 2x2 – 3x – 1
If f(x) = ex and g(x) = loge x, then which of the following is true ?
  • f{g(x)} ≠ g{f(x)}
  • f{g(x)} = g{f(x)}
  • f{g(x)} + g{f(x)} = 0
  • f{g(x)} – g{f(x)} = 1

Maths-Limits Continuity and Differentiability-37692.png

  • Maths-Limits Continuity and Differentiability-37693.png
  • 2)
    Maths-Limits Continuity and Differentiability-37694.png
  • x – 1
  • x
The composite mapping fog of the map f : R → R, f(x) = sin x, g : R → R, g(x) = x2 is
  • sin x + x2
  • (sin x)2
  • sin x2

  • Maths-Limits Continuity and Differentiability-37696.png
Let f(x) = ax + b and g(x) = cx + d, a ≠ 0, c ≠ 0. Assume a = 1, b = 2.If (fog) (x) = (gof) (x) for all x, what can you say about c and d
  • c and d both arbitary
  • c = 1, d arbitary
  • c arbitary , d = 1
  • c = 1, d = 1

Maths-Limits Continuity and Differentiability-37699.png

  • Maths-Limits Continuity and Differentiability-37700.png
  • 2)
    Maths-Limits Continuity and Differentiability-37701.png
  • 1
  • –1

Maths-Limits Continuity and Differentiability-37703.png

  • Maths-Limits Continuity and Differentiability-37704.png
  • 2)
    Maths-Limits Continuity and Differentiability-37705.png

  • Maths-Limits Continuity and Differentiability-37706.png

  • Maths-Limits Continuity and Differentiability-37707.png
If f(x) = (a – xn)1/n, where a > 0 and n is a positive integer, then f[f(x)] =
  • x3
  • x2
  • x
  • None of these
A real valued function f(x) satisfies the equation f(x – y) = f(x) f(y) – f(a – x) f(a + y), where a is a given constant and f(= 1, f(2a – x) is equal to
  • f(a) + f(a – x)
  • f (–x)
  • –f(x)
  • f(x)

Maths-Limits Continuity and Differentiability-37711.png

  • Maths-Limits Continuity and Differentiability-37712.png
  • 2)
    Maths-Limits Continuity and Differentiability-37713.png

  • Maths-Limits Continuity and Differentiability-37714.png

  • Maths-Limits Continuity and Differentiability-37715.png
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