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11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Three

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. If A={1,2,3}, B={1,4,6,9} and R is a relation from A to B defined by "x is greater than y". The range of R is

    (a)

    {1,4,6,9}

    (b)

    {4,6,9}

    (c)

    {1}

    (d)

    None of these

  2. If \({ log }_{ \sqrt { x } }\) 0.25 =4 ,then the value of x is

    (a)

    0.5

    (b)

    2.5

    (c)

    1.5

    (d)

    1.25

  3. Assertion (A) : cos x = \(\frac{-1}{2}\) and 0<x<2π, then the solutions are x=\(\frac{2\pi}{3},\frac{4\pi}{3}\).
    Reason (R) : cos is negative in the first and fourth quadrant only.

    (a)

    Both A and (R) are true and (R) is the correct explanation of (A)

    (b)

    Both A and R are true but (R) is not the correct explantion of A

    (c)

    A is true R is false

    (d)

    A is false R is true

  4. The sum up to n terms of the series \(\frac { 1 }{ \sqrt { 1 } +\sqrt { 3 } } +\frac { 1 }{ \sqrt { 3 } +\sqrt { 5 } } +\frac { 1 }{ \sqrt { 5 } +\sqrt { 7 } } +\)....is 

    (a)

    \(\sqrt { 2n+1 } \)

    (b)

    \(\frac { \sqrt { 2n+1 } }{ 2 } \)

    (c)

    \(\sqrt { 2n+1 } -1\)

    (d)

    \(\frac { \sqrt { 2n+1 } -1 }{ 2 } \)

  5. The sum of the series C02- C12 + C22 .....+ (- 1)nC2n where n is an even integer is

    (a)

    2nCn

    (b)

    (-1)n2nCn

    (c)

    (-1)n2nCn-1

    (d)

    (-1)n/2nCn/2

  6. The direction cosines of the vector \(2\hat{i}+2\hat{j}-\hat{k}\)are

    (a)

    \(\frac { 2 }{ 3 } ,\frac { 2 }{ 3 } ,-\frac { 1 }{ 3 } \)

    (b)

    \(\frac { 2 }{ 3 } ,\frac { 2 }{ 3 } ,\frac { 1 }{ 3 } \)

    (c)

    \(-\frac { 2 }{ 3 } ,-\frac { 2 }{ 3 } ,\frac { 1 }{ 3 } \)

    (d)

    \(-\frac { 2 }{ 3 } ,-\frac { 2 }{ 3 } ,-\frac { 1 }{ 3 } \)

  7. Find the odd one out of the following

    (a)

    \(\hat { i } +2\hat { j } +3\hat { k } \)

    (b)

    \(2\hat { i } +4\hat { j } +6\hat { k } \)

    (c)

    \(7\hat { i } +14\hat { j } +21\hat { k } \)

    (d)

    \(\hat { i } +3\hat { j } +2\hat { k } \)

  8. Choose the correct or the most suitable answer from the given four alternatives.
    \(If\quad x=a(\theta +\sin { \theta ),y=a(1+\cos { \theta } ) } then\quad \frac { dy }{ dx }\) is

    (a)

    \(\tan { \frac { \theta }{ 2 } } \)

    (b)

    \(-\tan { \frac { \theta }{ 2 } } \)

    (c)

    \(\cot { \frac { \theta }{ 2 } } \)

    (d)

    \(-\cot { \frac { \theta }{ 2 } } \)

  9. \(\int { sin } \)ex . d (ex) = ________+c.

    (a)

    cos (ex)

    (b)

    sin(ex)

    (c)

    - cos (ex)

    (d)

    -sin(ex)

  10. Choose the incorrect pair:

    (a)

    A and B disjoint - P(A⋂B) = peA) + PCB

    (b)

    A and B independent - P(A⋂B) = p(A) P(B)

    (c)

    A and B disjoint - P(A⋂B) = 0

    (d)

    A and B independent - P(A/B) = P(B/A)

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