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11th Standard Maths Basic Algebra English Medium Free Online Test One Mark Questions 2020 - 2021

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 |x+2| \(\le\) 9, then x belongs to

    (a)

    \((-\infty ,-7)\)

    (b)

    [-11, 7]

    (c)

    \((-\infty ,-7)\cup (11,\infty)\)

    (d)

    (-11, 7)

  2. The value of loga b logb c logc a is

    (a)

    2

    (b)

    1

    (c)

    3

    (d)

    4

  3. Find a so that the sum and product of the roots of the equation 2x2+(a-3)x+3a-5 = 0 are equal is

    (a)

    1

    (b)

    2

    (c)

    0

    (d)

    4

  4. If 8 and 2 are the roots of x2+ax+c=0 and 3,3 are the roots of x2+dx+b=0;then the roots of the equation x2+ax+b = 0 are

    (a)

    1,2

    (b)

    -1,1

    (c)

    9,1

    (d)

    -1,2

  5. If  \(\frac { kx }{ (x+2)(x-1) } =\frac { 2 }{ x+2 } +\frac { 1 }{ x-2 } \) ,then the value of k is

    (a)

    1

    (b)

    2

    (c)

    3

    (d)

    4

  6. If x is a real number and |x| < 5 then

    (a)

    x ≥ 5

    (b)

    -5 < x < 5

    (c)

    x ≤ -5

    (d)

    -5 ≤ x ≤ 5

  7. \(\sqrt [ 4 ]{ 11 } \) is equal to

    (a)

    \(\sqrt [ 8 ]{ 11^{ 2 } } \)

    (b)

    \(\sqrt [ 8 ]{ 11^{ 4 } } \)

    (c)

    \(\sqrt [ 8 ]{ 11^{ 8 } } \)

    (d)

    \(\sqrt [ 8 ]{ 11^{ 6 } } \)

  8. If x is real and k = \(\frac { { x }^{ 2 }-x+1 }{ { x }^{ 2 }+x+1 } \) then

    (a)

    \(k\epsilon \left[ \frac { 1 }{ 3 } ,3 \right] \)

    (b)

    k ≥ 3

    (c)

    \(k\le \frac { 1 }{ 3 } \)

    (d)

    none of these

  9. The value of log108+log105-log10=

    (a)

    \({ log }_{ 10 }^{ 9 }\)

    (b)

    \({ log }_{ 10 }^{ 36 }\)

    (c)

    1

    (d)

    -1

  10. The factors of the polynomial \(6\sqrt { { 3x }^{ 2 } } -47x+5\sqrt { 3 } \) are

    (a)

    \((2x-5\sqrt { 3 } )(3\sqrt { 3 } x-1)\)

    (b)

    \((2x-5\sqrt { 3 } )(3\sqrt { 3 } x+1)\)

    (c)

    \((2x+5\sqrt { 3 } )(3\sqrt { 3 } x+1)\)

    (d)

    \((2x+5\sqrt { 3 } )(3\sqrt { 3 } x-1)\)

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