Algebra - One Mark Questions

10th Standard EM

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Maths

Time : 00:30:00 Hrs
Total Marks : 10
    10 x 1 = 10
  1. A system of three linear equations in three variables is inconsistent if their planes

    (a)

    intersect only at a point

    (b)

    intersect in a line

    (c)

    coincides with each other

    (d)

    do not intersect

  2. The solution of the system x + y − 3x = −6, −7y + 7z = 7 , 3z = 9 is

    (a)

    x = 1, y = 2, z = 3

    (b)

    x = −1, y = 2, z = 3

    (c)

    x = −1, y = −2, z = 3

    (d)

    x = 1, y = 2, z = 3

  3. y2 + \(\frac {1}{y^{2}}\) is not equal to

    (a)

    \(\frac {y^{2} + 1}{y^{2}}\)

    (b)

    \({ \left( y+\frac { 1 }{ y } \right) }^{ 2 }\)

    (c)

    \({ \left( y-\frac { 1 }{ y } \right) }^{ 2 }+2\)

    (d)

    \({ \left( y+\frac { 1 }{ y } \right) }^{ 2 }-2\)

  4. The square root of \(\frac { 256{ x }^{ 8 }{ y }^{ 4 }{ z }^{ 10 } }{ 25{ x }^{ 6 }{ y }^{ 6 }{ z }^{ 6 } } \) is equal to

    (a)

    \(\frac { 16 }{ 5 } \left| \frac { { x }^{ 2 }{ z }^{ 4 } }{ { y }^{ 2 } } \right| \)

    (b)

    \(16\left| \frac { { y }^{ 2 } }{ { x }^{ 2 }{ z }^{ 2 } } \right| \)

    (c)

    \(\frac { 16 }{ 5 } \left| \frac { y }{ x{ z }^{ 2 } } \right| \)

    (d)

    \(\frac { 16 }{ 5 } \left| \frac { x{ z }^{ 2 } }{ y } \right| \)

  5. The solution of (2x - 1)2 = 9 is equal to

    (a)

    -1

    (b)

    2

    (c)

    -1, 2

    (d)

    None of these

  6. The values of a and b if 4x4 - 24x3 + 76x2 + ax + b is a perfect square are

    (a)

    100, 120

    (b)

    10, 12

    (c)

    -120, 100

    (d)

    12, 10

  7. Graph of a linear polynomial is a

    (a)

    straight line

    (b)

    circle

    (c)

    parabola

    (d)

    hyperbola

  8. If number of columns and rows are not equal in a matrix then it is said to be a

    (a)

    diagonal matrix

    (b)

    rectangular matrix

    (c)

    square matrix

    (d)

    identity matrix

  9. Transpose of a column matrix is

    (a)

    unit matrix

    (b)

    diagonal matrix

    (c)

    column matrix

    (d)

    row matrix

  10. Find the matrix X if 2X + \(\left( \begin{matrix} 1 & 3 \\ 5 & 7 \end{matrix} \right) =\left( \begin{matrix} 5 & 7 \\ 9 & 5 \end{matrix} \right) \)

    (a)

    \(\left( \begin{matrix} -2 & -2 \\ 2 & -1 \end{matrix} \right) \)

    (b)

    \(\left( \begin{matrix} 2 & 2 \\ 2 & -1 \end{matrix} \right) \)

    (c)

    \(\left( \begin{matrix} 1 & 2 \\ 2 & 2 \end{matrix} \right) \)

    (d)

    \(\left( \begin{matrix} 2 & 1 \\ 2 & 2 \end{matrix} \right) \)

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