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11th Standard Maths Basic Algebra English Medium Free Online Test One Mark Questions with Answer Key 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.  Given that x, y and b are real numbers x<y, b>0, then

    (a)

    xb < yb

    (b)

    xb > yb

    (c)

    xb ≤ yb

    (d)

    \(\frac { x }{ b } \ge \frac { y }{ b } \)

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

    (a)

    5

    (b)

    7

    (c)

    6

    (d)

    9

  3. If a and b are the roots of the equation x2-kx+c = 0 then the distance between the points (a, 0) and (b, 0)

    (a)

    \(\sqrt { { 4k }^{ 2 }-c } \)

    (b)

    \(\sqrt { { k }^{ 2 }-4c } \)

    (c)

    \(\sqrt { 4c-{ k }^{ 2 } } \)

    (d)

    \(\sqrt { k-8c } \)

  4. If  \(\frac { 1-2x }{ 3+2x-{ x }^{ 2 } } =\frac { A }{ 3-x } +\frac { B }{ x+1 } \) ,then the value of A+B is

    (a)

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

    (b)

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

    (c)

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

    (d)

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

  5. If -3x+17 < -13 then

    (a)

    x ∈ (10,∞)

    (b)

    x ∈ [10,∞)

    (c)

    x ∈ (-∞,10]

    (d)

    x ∈ [10,10)

  6. The number of real solution of |2x-x2-3|=1 is

    (a)

    0

    (b)

    2

    (c)

    3

    (d)

    4

  7. (x2-2x+2)(x2+2x+2) are the factors of the polynomial

    (a)

    (x2-2x)2

    (b)

    x4-4

    (c)

    x4+4

    (d)

    (x2-2x+2)2

  8. If \(\alpha\) and \(\beta\) are the roots of 2x2+4x+5=0 the equation where roots are 2\(\alpha\) and 2\(\beta\) is:

    (a)

    4x2+ 4x + 5 = 0

    (b)

    2x2 + 4x + 50 = 0

    (c)

    x2+4x+5=0

    (d)

    x2+4x+10=0

  9. The condition that the equation ax2 + bx + c = 0 may have one root is the double the other is:

    (a)

    2b2 = 9ac

    (b)

    b2= ac

    (c)

    b2 = 4ac

    (d)

    9b2 = 2ac

  10. If P(x) = x3 + 3x2 + 2x + 1, then the remainder on dividing p(x) by (x - 1) is

    (a)

    7

    (b)

    0

    (c)

    6

    (d)

    1

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