JEE Questions for Maths Definite Integrals Quiz 3 - MCQExams.com

Which of the following is correct ?

  • Maths-Definite Integrals-19431.png
  • 2)
    Maths-Definite Integrals-19432.png

  • Maths-Definite Integrals-19433.png

  • Maths-Definite Integrals-19434.png

  • Maths-Definite Integrals-19435.png

Maths-Definite Integrals-19437.png
  • 1
  • 2
  • 0
  • -1

Maths-Definite Integrals-19439.png

  • Maths-Definite Integrals-19440.png
  • 2)
    Maths-Definite Integrals-19441.png

  • Maths-Definite Integrals-19442.png

  • Maths-Definite Integrals-19443.png

Maths-Definite Integrals-19445.png
  • 1/4
  • - (1/2)
  • 3/2
  • 1/2

Maths-Definite Integrals-19447.png
  • 4
  • -2
  • -3
  • 3

Maths-Definite Integrals-19449.png

  • Maths-Definite Integrals-19450.png
  • 2)
    Maths-Definite Integrals-19451.png

  • Maths-Definite Integrals-19452.png

  • Maths-Definite Integrals-19453.png

Maths-Definite Integrals-19455.png
  • a and k
  • a and b
  • a, b and c
  • k

Maths-Definite Integrals-19457.png
  • π/2
  • π/2a
  • π/a
  • 1/2a

Maths-Definite Integrals-19459.png

  • Maths-Definite Integrals-19460.png
  • 2)
    Maths-Definite Integrals-19461.png

  • Maths-Definite Integrals-19462.png

  • Maths-Definite Integrals-19463.png

Maths-Definite Integrals-19465.png

  • Maths-Definite Integrals-19466.png
  • 2)
    Maths-Definite Integrals-19467.png

  • Maths-Definite Integrals-19468.png

  • Maths-Definite Integrals-19469.png

Maths-Definite Integrals-19471.png
  • 171/2
  • 171/4
  • 170/4
  • 170/3

Maths-Definite Integrals-19473.png

  • Maths-Definite Integrals-19474.png
  • 2)
    Maths-Definite Integrals-19475.png

  • Maths-Definite Integrals-19476.png

  • Maths-Definite Integrals-19477.png

Maths-Definite Integrals-19479.png
  • -1
  • 1
  • 0
  • 1/2
If f(x) = tan x - tan3 x + tan5 x - ... ∞ with 0 < x < π/4, then
Maths-Definite Integrals-19481.png
  • 1
  • 0
  • 1/4
  • 1/2
  • - (1/4)

Maths-Definite Integrals-19483.png
  • 0
  • 1

  • Maths-Definite Integrals-19484.png

  • Maths-Definite Integrals-19485.png

Maths-Definite Integrals-19487.png
  • (3/log 2
  • (-3/(1 + log 2)
  • (-3/log 2
  • None of the above

Maths-Definite Integrals-19489.png

  • Maths-Definite Integrals-19490.png
  • 2)
    Maths-Definite Integrals-19491.png

  • Maths-Definite Integrals-19492.png

  • Maths-Definite Integrals-19493.png

  • Maths-Definite Integrals-19494.png

Maths-Definite Integrals-19496.png

  • Maths-Definite Integrals-19497.png
  • 2)
    Maths-Definite Integrals-19498.png

  • Maths-Definite Integrals-19499.png

  • Maths-Definite Integrals-19500.png

Maths-Definite Integrals-19502.png

  • Maths-Definite Integrals-19503.png
  • 2)
    Maths-Definite Integrals-19504.png

  • Maths-Definite Integrals-19505.png

  • Maths-Definite Integrals-19506.png

  • Maths-Definite Integrals-19507.png

Maths-Definite Integrals-19509.png
  • 0
  • 2)
    Maths-Definite Integrals-19510.png

  • Maths-Definite Integrals-19511.png

  • Maths-Definite Integrals-19512.png
  • 1

Maths-Definite Integrals-19514.png
  • loge e
  • loge 2
  • log2 (1/e)
  • log1/e 2

Maths-Definite Integrals-19516.png
  • 1
  • 2
  • -1
  • -2

Maths-Definite Integrals-19518.png
  • log 3
  • log 1
  • log 4
  • log 2

Maths-Definite Integrals-19520.png

  • Maths-Definite Integrals-19521.png
  • 2)
    Maths-Definite Integrals-19522.png

  • Maths-Definite Integrals-19523.png
  • None of these

Maths-Definite Integrals-19525.png
  • a/2
  • a/4
  • πa/2
  • πa/4

Maths-Definite Integrals-19527.png
  • a = e, b = - 2
  • a = e, b = 2
  • a = - e, b = 2
  • None of these

Maths-Definite Integrals-19529.png
  • 1/2
  • 0
  • 1
  • 2

Maths-Definite Integrals-19531.png
  • 9
  • 3
  • 1/9
  • 1/3

Maths-Definite Integrals-19533.png

  • Maths-Definite Integrals-19534.png
  • 2)
    Maths-Definite Integrals-19535.png

  • Maths-Definite Integrals-19536.png

  • Maths-Definite Integrals-19537.png

Maths-Definite Integrals-19539.png
  • e2
  • 2e2
  • 4e2
  • 3e2

Maths-Definite Integrals-19541.png

  • Maths-Definite Integrals-19542.png
  • 2)
    Maths-Definite Integrals-19543.png

  • Maths-Definite Integrals-19544.png

  • Maths-Definite Integrals-19545.png

Maths-Definite Integrals-19547.png

  • Maths-Definite Integrals-19548.png
  • 2)
    Maths-Definite Integrals-19549.png

  • Maths-Definite Integrals-19550.png

  • Maths-Definite Integrals-19551.png

Maths-Definite Integrals-19553.png
  • 12
  • 25
  • 23
  • 24

Maths-Definite Integrals-19555.png
  • 0
  • 4
  • 8
  • 1

Maths-Definite Integrals-19557.png
  • 2 - √2
  • 2 + √2
  • √2 - 1
  • √2 - 2

Maths-Definite Integrals-19559.png
  • 0
  • π/4
  • π/2
  • π

Maths-Definite Integrals-19561.png
  • π - e
  • (π + e)/2
  • 1
  • (π - e)/2

Maths-Definite Integrals-19563.png
  • 0
  • π/4
  • π
  • π/2

Maths-Definite Integrals-19565.png

  • Maths-Definite Integrals-19566.png
  • 2)
    Maths-Definite Integrals-19567.png

  • Maths-Definite Integrals-19568.png

  • Maths-Definite Integrals-19569.png

Maths-Definite Integrals-19571.png
  • 47/3
  • 50/3
  • 1/3
  • 47/2
For any real number x, let [x] dnotes the largest integer less than or equal to x. Let f be a real valued function defined on the interval [-10, 10] by
Maths-Definite Integrals-19573.png
  • 2
  • 4
  • 0
  • None of these

Maths-Definite Integrals-19575.png
  • 0
  • 2)
    Maths-Definite Integrals-19576.png
  • 1

  • Maths-Definite Integrals-19577.png

Maths-Definite Integrals-19579.png

  • 0
  • π


Maths-Definite Integrals-19581.png
  • 0
  • 2
  • 4
  • -2

Maths-Definite Integrals-19583.png
  • π
  • 0

  • π.4

Maths-Definite Integrals-19585.png
  • Statement I is correct, Statement II is correct; Statement II is correct explanation for Statement I
  • Statement I is correct, Statement Ii is correct; Statement II is not a correct explanation for Statement I
  • Statement I is correct, Statement II is incorrect
  • Statement I is incorrect, Statement II is icorrect

Maths-Definite Integrals-19587.png

  • Maths-Definite Integrals-19588.png
  • 2)
    Maths-Definite Integrals-19589.png

  • Maths-Definite Integrals-19590.png

  • Maths-Definite Integrals-19591.png

Maths-Definite Integrals-19593.png
  • 0
  • 2)
    Maths-Definite Integrals-19594.png

  • Maths-Definite Integrals-19595.png

  • Maths-Definite Integrals-19596.png
If [x] is the greatest integer function not greater than x, then
Maths-Definite Integrals-19598.png
  • 45
  • 66
  • 35
  • 55

Maths-Definite Integrals-19600.png
  • 0
  • e2 - 1
  • 2(e2 - 1)
  • 1
0:0:1


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