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12th Standard English Medium Maths Subject Discrete Mathematics Creative 1 Mark Questions with Solution Part - I

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 5

    1 Marks

    5 x 1 = 5
  1. If * is defined by a * b = a2 + b2 + ab + 1, then (2 * 3) * 2 is _____________

    (a)

    20

    (b)

    40

    (c)

    400

    (d)

    445

  2. The identity element of \(\left\{ \left( \begin{matrix} x & x \\ x & x \end{matrix} \right) \right\} \) |x \(\in \) R, x ≠ 0} under matrix multiplication is __________

    (a)

    \(\left( \begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix} \right) \)

    (b)

    \(\left( \begin{matrix} \frac { 1 }{ 4x } & \frac { 1 }{ 4x } \\ \frac { 1 }{ 4x } & \frac { 1 }{ 4x } \end{matrix} \right) \)

    (c)

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

    (d)

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

  3. The identity element in the group {R - {1},x} where a * b = a + b - ab is __________

    (a)

    0

    (b)

    1

    (c)

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

    (d)

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

  4. A binary operation * is defined on the set of positive rational numbers Q+ by a*b = \(\frac { ab }{ 4 } \). Then 3 * \(\left( \frac { 1 }{ 5 } *\frac { 1 }{ 2 } \right) \) is _____________

    (a)

    \(\frac { 3 }{ 160 } \)

    (b)

    \(\frac { 5 }{ 160 } \)

    (c)

    \(\frac { 3 }{ 10 } \)

    (d)

    \(\frac { 3 }{ 40 } \)

  5. '-' is a binary operation on ___________

    (a)

    ~

    (b)

    Q-{0}

    (c)

    R-{0}

    (d)

    Z

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