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11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 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. If \(f:R\rightarrow R\) is defined by \(f(x)=2x-3:\)

    (a)

    \({1\over 2x-3}\)

    (b)

    \({1\over 2x+3}\)

    (c)

    \({x+3\over 2}\)

    (d)

    \({x-3\over 2}\)

  2. The triangle of maximum area with constant perimeter 12m

    (a)

    is an equilateral triangle with side 4m

    (b)

    is an isosceles triangle with sides 2m;5m;5m

    (c)

    is a triangle with sides 3m;4m;5m

    (d)

    Does not exist

  3. tan 70°-tan 20°=

    (a)

    tan 50°

    (b)

    2 tan 50°

    (c)

    tan 70°

    (d)

    0

  4. The product of first n odd natural numbers equals

    (a)

    2nCn\(\times\)nPn

    (b)

    \({ \left( \frac { 1 }{ 2 } \right) }^{ n }\)2nCn\(\times\)nPn

    (c)

    \({ \left( \frac { 1 }{ 4 } \right) }^{ n }\times \)2nCn\(\times\)2nPn

    (d)

    nCn \(\times\)nPn

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

    (a)

    12C6

    (b)

    12C626

    (c)

    12C7

    (d)

    12C627

  6. If the square of the matrix \(\begin{bmatrix} \alpha & \beta \\ \gamma & -\alpha \end{bmatrix}\) is the unit matrix of order 2, then\(\alpha ,\beta \) and \(\gamma\) should satisfy the relation.

    (a)

    1+\(\alpha ^2+\beta \gamma=0\)

    (b)

    1-\(\alpha ^2-\beta \gamma=0\)

    (c)

    1-\(\alpha ^2+\beta \gamma=0\)

    (d)

    1+\(\alpha ^2-\beta \gamma=0\)

  7. 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)

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

  8. Choose the incorrect pair

    (a)

    330o\(\frac{11\pi}{6}\)radians

    (b)

    \(\frac{7\pi^c}{3}\) - 200o

    (c)

    0o - 0c

    (d)

    2\(\pi\)c - 360o

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

    (a)

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

    (b)

    3 log ( 1 + log x)

    (c)

    2(1 + log x)

    (d)

    none of these

  10. The probability that in a year of 22nd century, chosen at random there will be 53 Sundays is

    (a)

    \(\frac { 3 }{ 28 } \)

    (b)

    \(\frac { 2 }{ 28 } \)

    (c)

    \(\frac { 7 }{ 28 } \)

    (d)

    \(\frac { 5 }{ 28 } \)

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