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

11th Standard

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Maths

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

    Answer all the questions

    10 x 1 = 10
  1. \(n(p(A))=512,n(p(B))=32,n(A\cup B)=16,\) find \(n(A\cap B):\)

    (a)

    2

    (b)

    9

    (c)

    4

    (d)

    5

  2. If 3 is the logarithm of 343 then the base is

    (a)

    5

    (b)

    7

    (c)

    6

    (d)

    9

  3. \(\frac { cos3x }{ 2cos2x-1 } \) is

    (a)

    cos x

    (b)

    sin x

    (c)

    tan x

    (d)

    cot x

  4. The number of positive integral solution of \(x\times y\times z=30\) is

    (a)

    3

    (b)

    1

    (c)

    9

    (d)

    27

  5. 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

  6. The value of \({ 9 }^{ \frac { 1 }{ 3 } }\) ,\({ 9 }^{ \frac { 1 }{ 9 } }\)\({ 9 }^{ \frac { 1 }{ 27 } }\) ,\(\infty \)is

    (a)

    1

    (b)

    3

    (c)

    9

    (d)

    none of these

  7. The locus of a point which is collinear with the points (a,0) and (0,b) is

    (a)

    x+y=1

    (b)

    \(\frac{x}{a}+\frac{y}{b}=1\)

    (c)

    x+y=ab

    (d)

    \(\frac{x}{a}-\frac{y}{b}=1\)

  8. On using elementary row operation R1⟶R1-3R2 in the following matrix equation \(\begin{pmatrix} 4 & 2 \\ 3 & 3 \end{pmatrix}=\begin{pmatrix} 1 & 2 \\ 0 & 3 \end{pmatrix}\begin{pmatrix} 2 & 0 \\ 1 & 1 \end{pmatrix}\)

    (a)

    \(\begin{pmatrix} -5 & -7 \\ 3 & 3 \end{pmatrix}=\begin{pmatrix} 1 & -7 \\ 0 & 3 \end{pmatrix}\begin{pmatrix} 2 & 0 \\ 1 & 1 \end{pmatrix}\)

    (b)

    \(\begin{pmatrix} -5 & -7 \\ 3 & 3 \end{pmatrix}=\begin{pmatrix} 1 & 2 \\ 0 & 3 \end{pmatrix}\begin{pmatrix} -1 & -3 \\ 1 & 1 \end{pmatrix}\)

    (c)

    \(\begin{pmatrix} -5 & -7 \\ 3 & 3 \end{pmatrix}=\begin{pmatrix} 1 & 2 \\ 1 & -7 \end{pmatrix}\begin{pmatrix} 2 & 0 \\ 1 & 1 \end{pmatrix}\)

    (d)

    \(\begin{pmatrix} 4 & 2 \\ -5 & -7 \end{pmatrix}=\begin{pmatrix} 1 & 2 \\ -3 & -3 \end{pmatrix}\begin{pmatrix} 2 & 0 \\ 1 & 1 \end{pmatrix}\)

  9. The value of the expression \({ \left| \overrightarrow { a } \times \overrightarrow { b } \right| }^{ 2 }+{ (\overrightarrow { a } .\overrightarrow { b } ) }^{ 2 }\) is

    (a)

    cos2 \(\theta\)

    (b)

    sin2 \(\theta\)

    (c)

    \({ |\overrightarrow { a } | }^{ 2 }|{ \overrightarrow { b } | }^{ 2 }\)

    (d)

    \({ (|\overrightarrow { a } |+|\overrightarrow { b } |) }^{ 2 }\)

  10. \(lim_{x \rightarrow 0}{e^{sin \ x}-1\over x}=\)

    (a)

    1

    (b)

    e

    (c)

    \({1\over e}\)

    (d)

    0

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