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11th Standard Maths English Medium Free Online Test Creative 1 Mark Questions - Part Three

11th Standard

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Maths

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

    Answer all the questions

    10 x 1 = 10
  1. Let S = (1, 2, 3), R be (1, 1) (1, 2) (2, 2) (1, 3) (3, 1), what are the elements to-be included to make R reflexive ___________

    (a)

    (3, 3)

    (b)

    (2, 3)

    (c)

    (3, 2)

    (d)

    none of these

  2. (x2-2x+2)(x2+2x+2) are the factors of the polynomial ___________

    (a)

    (x2-2x)2

    (b)

    x4-4

    (c)

    x4+4

    (d)

    (x2-2x+2)2

  3. The product of r consecutive positive integers is divisible by _________

    (a)

    r!

    (b)

    r!+1

    (c)

    (r+1)

    (d)

    none of these

  4. The middle term in the expansion of  is \((x- \frac{2}{x})^{12}\) is ______________

    (a)

    12C6

    (b)

    12C626

    (c)

    12C7

    (d)

    12C627

  5. If \(\begin{bmatrix} 2x+y & 4x \\ 5x-7 & 4x \end{bmatrix}=\begin{bmatrix} 7 & 7y-13 \\ y & x+6 \end{bmatrix}\), then the value of x+y is _________ .

    (a)

    5

    (b)

    6

    (c)

    4

    (d)

    3

  6. |adj A| =_________ where A is a square matrix of order

    (a)

    |A|

    (b)

    |A|2

    (c)

    |A|3

    (d)

    I

  7. 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)

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

  8. Choose the correct or the most suitable answer from the given four alternatives.
    The derivative of \(\cos ^{ -1 }{ (2{ x }^{ 2 } } -1)\) with respect to \(\cos ^{ -1 }{ x } \) is _____

    (a)

    2

    (b)

    \(\frac { 1 }{ 2\sqrt { 1-{ x }^{ 2 } } } \)

    (c)

    \(\frac { 2 }{ x } \)

    (d)

    \(1-{ x }^{ 2 }\)

  9. \(\int { \frac { { e }^{ x } }{ \left( 1+{ e }^{ x } \right) ^{ 2 } } } \) dx =_______+c

    (a)

    \(\frac { 1 }{ 1+{ e }^{ x } } \)

    (b)

    -\(\frac { 1 }{ 1+{ e }^{ x } } \)

    (c)

    1 + ex

    (d)

    \(\frac { \left( 1+{ e }^{ x } \right) ^{ 3 } }{ 3 } \)

  10. A box contains 10 good articles and 6 with defects. One item is drawn at random. The probability that it is either good or has a defect is

    (a)

    \(\frac { 64 }{ 64 } \)

    (b)

    \(\frac { 49 }{ 64 } \)

    (c)

    \(\frac { 40 }{ 64 } \)

    (d)

    \(\frac { 24 }{ 64 } \)

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