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12th Standard Maths English Medium Free Online Test Creative One Mark Questions with Answer Key - Part Four

12th Standard

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Maths

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

    Answer all the questions

    10 x 1 = 10
  1. If ATA−1 is symmetric, then A2 =

    (a)

    A-1

    (b)

    (AT)2

    (c)

    AT

    (d)

    (A-1)2

  2. Every homogeneous system ______

    (a)

    Is always consistent

    (b)

    Has only trivial solution

    (c)

    Has infinitely many solution

    (d)

    Need not be consistent

  3. If A is a non-singular matrix then IA-1| = ______

    (a)

    \(\left| \frac { 1 }{ { A }^{ 2 } } \right| \)

    (b)

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

    (c)

    \(\left| \frac { 1 }{ A } \right| \)

    (d)

    \(\frac { 1 }{ |A| } \)

  4. If x + iy = \(\frac { 3+5i }{ 7-6i } \), they y = ___________

    (a)

    \(\frac { 9 }{ 85 } \)

    (b)

    -\(\frac { 9 }{ 85 } \)

    (c)

    \(\frac { 53 }{ 85 } \)

    (d)

    none of these

  5. If x + y = 8, then the maximum value of xy is _________

    (a)

    8

    (b)

    16

    (c)

    20

    (d)

    24

  6. If u = y sin x then \(\frac { { \partial }^{ 2 }u }{ \partial x\partial y } \) = ..........

    (a)

    cos x

    (b)

    cos y

    (c)

    sin x

    (d)

    0

  7. \(\int _{ -\frac { \pi }{ 2 } }^{ \frac { \pi }{ 2 } }{ \frac { sinx }{ 2+cosx } dx= } \) __________

    (a)

    0

    (b)

    2

    (c)

    log 2

    (d)

    log 4

  8. The differential equation corresponding to xy = c2 where c is an arbitrary constant is ________.

    (a)

    xy"+ x = 0

    (b)

    y" = 0

    (c)

    xy'+ y = 0

    (d)

    xy"-x = 0

  9. If \(f(x)=\frac { 1 }{ 2 } \) ,\(E\left( { x }^{ 2 } \right) =\frac { 1 }{ 4 } \) then var(x) is _____________

    (a)

    0

    (b)

    \(\frac { 1 }{ 4 } \)

    (c)

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

    (d)

    1

  10. In (S, *), is defined by x * y = x where x, y \(\in \) S, then

    (a)

    associative

    (b)

    Commutative

    (c)

    associative and commutative

    (d)

    neither associative nor commutative

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