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12th Standard Maths English Medium Free Online Test Book Back One Mark Questions

12th Standard EM

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Maths

Time : 00:10:00 Hrs
Total Marks : 10

    Answer all the questions

    10 x 1 = 10
  1. If |adj(adj A)| = |A|9, then the order of the square matrix A is

    (a)

    3

    (b)

    4

    (c)

    2

    (d)

    5

  2. If A = \(\left[ \begin{matrix} 7 & 3 \\ 4 & 2 \end{matrix} \right] \), then 9I - A = 

    (a)

    A-1

    (b)

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

    (c)

    3A-1

    (d)

    2A-1

  3. If P = \(\left[ \begin{matrix} 1 & x & 0 \\ 1 & 3 & 0 \\ 2 & 4 & -2 \end{matrix} \right] \) is the adjoint of 3 × 3 matrix A and |A| = 4, then x is

    (a)

    15

    (b)

    12

    (c)

    14

    (d)

    11

  4. If A = \(\left[ \begin{matrix} \frac { 3 }{ 5 } & \frac { 4 }{ 5 } \\ x & \frac { 3 }{ 5 } \end{matrix} \right] \) and AT = A−1 , then the value of x is

    (a)

    \(\frac { -4 }{ 5 } \)

    (b)

    \(\frac { -3 }{ 5 } \)

    (c)

    \(\frac { 3 }{ 5 } \)

    (d)

    \(\frac { 4 }{ 5 } \)

  5. The conjugate of a complex number is \(\cfrac { 1 }{ i-2 } \)/Then the complex number is

    (a)

    \(\cfrac { 1 }{ i+2 } \)

    (b)

    \(\cfrac { -1 }{ i+2 } \)

    (c)

    \(\cfrac { -1 }{ i-2 } \)

    (d)

    \(\cfrac { 1 }{ i-2 } \)

  6. The number of real numbers in [0,2π] satisfying sin4x-2sin2x+1 is

    (a)

    2

    (b)

    4

    (c)

    1

    (d)

  7. The centre of the circle inscribed in a square formed by the lines x2−8x−12=0 and y2−14y+45 = 0 is

    (a)

    (4,7)

    (b)

    (7,4)

    (c)

    (9,4)

    (d)

    (4,9)

  8. The volume of the parallelepiped with its edges represented by the vectors \(\hat { i } +\hat { j } ,\hat { i } +2\hat { j } ,\hat { i } +\hat { j } +\pi \hat { k } \) is

    (a)

    \(\frac { \pi }{ 2 } \)

    (b)

    \(\frac { \pi }{ 3} \)

    (c)

    \( { \pi }\)

    (d)

    \(\frac { \pi }{ 4 } \)

  9. A stone is thrown up vertically. The height it reaches at time t seconds is given by x = 80t -16t2. The stone reaches the maximum height in time t seconds is given by

    (a)

    2

    (b)

    2.5

    (c)

    3

    (d)

    3.5

  10. The approximate change in the volume V of a cube of side x metres caused by increasing the side by 1% is

    (a)

    0.3xdx m3

    (b)

    0.03 xm3

    (c)

    0.03.x2 m3

    (d)

    0.03x3m3

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