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11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Six

11th Standard

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Maths

Time : 00:10:00 Hrs
Total Marks : 10

    Answer all the questions

    10 x 1 = 10
  1. The function f:R➝R is defined by f(x)=\(\frac { \left( { x }^{ 2 }+cosx \right) \left( 1+{ x }^{ 4 } \right) }{ \left( x-sinx \right) \left( 2x-{ x }^{ 3 } \right) } +{ e }^{ -\left| x \right| }\) is

    (a)

    an odd function

    (b)

    neither an odd function nor an even function

    (c)

    an even function

    (d)

    both odd function and even function.

  2. LetA= {-2, -1, 0, 1, 2} andf: A ⟶ Z be given by f(x) =x2-2x-3 then preimage of 5 is

    (a)

    -2

    (b)

    -1

    (c)

    0

    (d)

    1

  3. If sin(45 ° + 10°) - sin(45° -10°) =\(\sqrt{2}\)sin x then x is

    (a)

    0o

    (b)

    (c)

    10°

    (d)

    15°

  4. The numerical value of tan-11+tan-12+tan-13=

    (a)

    \(\pi\)

    (b)

    \(\frac{\pi}{2}\)

    (c)

    0

    (d)

    \(\frac{\pi}{4}\)

  5. The nth term of the sequence \(\frac { 1 }{ 2 } ,\frac { 3 }{ 4 } ,\frac { 7 }{ 8 } ,\frac { 15 }{ 6 } \)......is

    (a)

    2- n - 1

    (b)

    1 - 2-n

    (c)

    2-n + n - 1

    (d)

    2n-1

  6. The Co-efficient of x3 in \(\sqrt { \frac { 1-x }{ 1+x } } ,\left| x \right| <1\quad is\quad \)

    (a)

    \(\frac { 1 }{ 2 } \)

    (b)

    \(\frac { 3 }{ 8 } \)

    (c)

    \(\frac { -3 }{ 8 } \)

    (d)

    \(\frac {- 1 }{ 2 } \)

  7. The value of m for which the vectors \(3\hat { i } -6\hat { j } +\hat { k } \) and \(2\hat { i } -4\hat { j } +\lambda \hat { k } \) are parallel is

    (a)

    \(\frac { 2 }{ 3 } \)

    (b)

    \(\frac { 3 }{ 2 } \)

    (c)

    \(\frac { 5 }{ 2 } \)

    (d)

    \(\frac { 2 }{ 5 } \)

  8. \(lim_{n \rightarrow \infty}({1\over n^2}+{2\over n^2}+{3\over n^2}+..+{n\over n^2})\) is

    (a)

    \(1\over 2\)

    (b)

    0

    (c)

    1

    (d)

    \(\infty\)

  9. If pv=81,then \({dp\over dv}\) at v=9 is

    (a)

    1

    (b)

    -1

    (c)

    2

    (d)

    -2

  10. \(\int {sec^2x\over tan^2 \ x-1}\) dx

    (a)

    \(2log|{1-tan x\over 1+tan \ x}|+c\)

    (b)

    \(log|{1+tan x\over 1-tan \ x}|+c\)

    (c)

    \({1\over2}log|{tan x+1\over tan \ x-1}|+c\)

    (d)

    \({1\over2}log|{tan x-1\over tan \ x+1}|+c\)

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