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

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 X = {a, b,c},y = (1,2,3) then \(f:x\rightarrow y\) given by (a, 1) (b, 1) (c, 1) is called:

    (a)

    onto

    (b)

    constant function

    (c)

    one one

    (d)

    bijective

  2. Which one of the following is false?

    (a)

    (A')' = A

    (b)

    AUA' = A

    (c)

    A⋂A' = Ø

    (d)

    AUA' = U

  3. The logarithmic form of 52=25 is

    (a)

    \({ log }_{ 5 }^{ 2 }=25\)

    (b)

    \({ log }_{ 2 }^{ 5 }=25\)

    (c)

    \({ log }_{ 2 }^{ 25 }=2\)

    (d)

    \({ log }_{ 25 }^{ 5 }=2\)

  4. If 15C3r=15 Cr+3 , then r is equal to

    (a)

    5

    (b)

    4

    (c)

    3

    (d)

    2

  5. nCr + 2nCr-1 + nCr-2

    (a)

    n+1Cr

    (b)

    (n+1)Cr+1

    (c)

    (n+2)Cr

    (d)

    n+2Cr+1

  6. The sum of the digits in the unit's place of all the 4- digit numbers formed by 3, 4, 5 and 6, without repetition, is _______.

    (a)

    432

    (b)

    108

    (c)

    36

    (d)

    72

  7. Which one of the following statements in false?

    (a)

    A point \((\alpha,\beta)\) will lie on origin side of the line ax+by+c=0 if a\(\alpha\)+b\(\beta\)+c and c have the same sign

    (b)

    A point \((\alpha,\beta)\)  will lie on non-origin side of the line ax+by+c=0 if a\(\alpha\)+b\(\beta\) +c and c have opposite sign

    (c)

    If \(\alpha=\frac{\pi}{2},p=0\) , then the equation xcos\(\alpha\)+ysin\(\alpha\)=p represents x-axis

    (d)

    If \(\alpha =0,p=0\), then the equation xcos\(\alpha\)+ysin\(\alpha\)=presents x-axis

  8. Find the odd one out of the following:

    (a)

    \(\begin{bmatrix} 0 & 2 \\ -2 & 0 \end{bmatrix}\)

    (b)

    \(\begin{bmatrix} 0 & \frac { -7 }{ 2 } \\ \frac { 7 }{ 2 } & 0 \end{bmatrix}\)

    (c)

    \(\begin{bmatrix} 0 & 3.2 \\ -3.2 & 0 \end{bmatrix}\)

    (d)

    \(\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}\)

  9. 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)

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

  10. \(\lim _{ x\rightarrow \infty }{ \frac { 1+2+3+....+n }{ { 2n }^{ 2 }+6 } } \)

    (a)

    2

    (b)

    6

    (c)

    \(\frac { 1 }{ 4 } \)

    (d)

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

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