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

11th Standard

    Reg.No. :
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Maths

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

    Answer all the questions

    10 x 1 = 10
  1. The range of the function \({1\over 1-2sinx}\) is

    (a)

    \((-∞,-1)\cup\left( {1\over 3},\infty\right)\)

    (b)

    \(\left( -1,{1\over 3}\right)\)

    (c)

    \(\left[ -1,{1\over 3}\right]\)

    (d)

    \((-∞,-1]\cup [\frac { 1 }{ 3 } ,∞)\)

  2. cos p = \(\frac { 1 }{ 7 } \) and cos Q = \(\frac { 13 }{ 14 } \) where P, Q are angles, then P-Q is _______________

    (a)

    \(\frac { \pi }{ 6 } \)

    (b)

    \(\frac { \pi }{ 3 } \)

    (c)

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

    (d)

    \(\frac { 5\pi }{ 12 } \)

  3. The coefficient of a5 in the expansion of (3a + 5b)5 is ______________

    (a)

    1

    (b)

    243

    (c)

    6750

    (d)

    9375

  4. If(1, 3) (2,1) (9, 4) are collinear then a is ______________

    (a)

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

    (b)

    2

    (c)

    0

    (d)

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

  5. The function \(f\left( x \right) =\tan { x } \) is discontinuous on the set

    (a)

    \(\left\{ n\pi :\quad n\in z \right\} \)

    (b)

    \(\left\{ 2n\pi :\quad n\in z \right\} \)

    (c)

    \(\left\{ (2n+1)\frac { \pi }{ 2 } ,\quad n\in z \right\} \)

    (d)

    \(\left\{ n\frac { \pi }{ 2 } ,\quad n\in z \right\} \)

  6. The rate of change of area A of a circle of radius r is

    (a)

    \(2\pi r\)

    (b)

    \(2\pi r\frac { dr }{ dt } \)

    (c)

    \(\pi { r }^{ 2 }\frac { dr }{ dt } \)

    (d)

    \(\pi \frac { dr }{ dt } \)

  7. If f(x) = x2 - 3x, then the points at which f(x) = f '(x) are

    (a)

    both positive integers

    (b)

    both negative integers

    (c)

    both irrational

    (d)

    one rational and another irrational

  8. If f(x) = x + 2, then f '(f(x)) at x = 4 is

    (a)

    8

    (b)

    1

    (c)

    4

    (d)

    5

  9. Choose the correct or the most suitable answer from the given four alternatives.
    If f(x) is an odd function, then  f'(x) is an ______ function

    (a)

    even

    (b)

    odd

    (c)

    even or odd

    (d)

    neither even nor odd

  10. \(\int \frac{e^x\left(x^2 \tan ^{-1} x+\tan ^{-1} x+1\right)}{x^2+1} d x\) is

    (a)

    ex tan-1(x+1)+c

    (b)

    tan-1(ex)+c

    (c)

    \(e^x{(tan^{-1}x)^2\over 2}+c\)

    (d)

    ex tan-1 x+c

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