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

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 the system of equations x + 2y - 3x = 2, (k + 3) z = 3, (2k + 1) y + z = 2. is inconsistent then k is

    (a)

    -3, -\(\frac{1}{2}\)

    (b)

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

    (c)

    1

    (d)

    2

  2. If a=cosθ + i sinθ, then \(\frac { 1+a }{ 1-a } \) =

    (a)

    cot \(\frac { \theta }{ 2 } \)

    (b)

    cot θ

    (c)

    i cot \(\frac { \theta }{ 2 } \)

    (d)

    i tan\(\frac { \theta }{ 2 } \)

  3. (1+i)3 = ______

    (a)

    3 + 3i

    (b)

    1 + 3i

    (c)

    3 - 3i

    (d)

    2i - 2

  4. Let a > 0, b > 0, c >0. h n both th root of th quatlon ax2+b+C= 0 are

    (a)

    real and negative

    (b)

    real and positive

    (c)

    rational numb rs

    (d)

    none

  5. If u = yx then \(\frac { \partial u }{ \partial y } \) = ............

    (a)

    xyx-1

    (b)

    yxy-1

    (c)

    0

    (d)

    1

  6. \(\int _{ 0 }^{ 2a }{ f(x) } dx=2\int _{ 0 }^{ 2a }{ f(x) } dx\)

    (a)

    f(2a -x) =f(x)

    (b)

    f(a -x) =f(x)

    (c)

    f(x) = - f(-x)

    (d)

    f(-x) =f(x)

  7. The I.F of y log y\(\frac{dx}{dy}+x-log\ y=0\) is

    (a)

    log(log y)

    (b)

    log y

    (c)

    \(\frac{1}{log\ y}\)

    (d)

    \(\frac{1}{log(log\ y)}\)

  8. If \(f(x)={ Cx }^{ 2 }={ cx }^{ 2 },0<x<2\) is the p.d.f, of x then c is

    (a)

    \(\cfrac { 1 }{ 3 } \)

    (b)

    \(\cfrac { 4 }{ 3 } \)

    (c)

    \(\cfrac { 8 }{ 3 } \)

    (d)

    \(\cfrac { 3 }{ 8 } \)

  9. Which of the following is a contradiction?

    (a)

    p v q

    (b)

    p ∧ q

    (c)

    q v ~ q

    (d)

    q ∧ ~ q

  10. If p is true and q is unknown, then _________

    (a)

    ~ p is true

    (b)

    p v (~p) is false

    (c)

    p ∧ (~p) is true

    (d)

    p v q is true

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