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12th Standard Maths English Medium Free Online Test Creative 1 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. The number of solutions of the system of equations 2x+y = 4, x - 2y = 2, 3x + 5y = 6 is

    (a)

    0

    (b)

    1

    (c)

    2

    (d)

    infinitely many

  2. The principal value of the amplitude of (1+i) is

    (a)

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

    (b)

    \(\frac { \pi }{ 12 } \)

    (c)

    \(\frac { 3\pi }{ 4 } \)

    (d)

    \(\pi \)

  3. If xr=\(cos\left( \frac { \pi }{ 2^{ r } } \right) +isin\left( \frac { \pi }{ 2^{ r } } \right) \) then x1, x2 ... x is

    (a)

    -∞

    (b)

    -2

    (c)

    -1

    (d)

    0

  4. The equation \(\sqrt { x+1 } -\sqrt { x-1 } =\sqrt { 4x-1 } \) has

    (a)

    no solution

    (b)

    one solution

    (c)

    two solution

    (d)

    more than one solution

  5. If \(\alpha ={ tan }^{ -1 }\left( tan\cfrac { 5\pi }{ 4 } \right) \) and \(\beta ={ tan }^{ -1 }\left( -tan\cfrac { 2\pi }{ 3 } \right) \) then

    (a)

    \(4\alpha =3\beta \quad \)

    (b)

    \(3\alpha =4\beta \)

    (c)

    \(\alpha -\beta =\cfrac { 7\pi }{ 12 } \)

    (d)

    none

  6. The value of sin(2(tan-1 0.75) is___________

    (a)

    0.75

    (b)

    1.5

    (c)

    0.96

    (d)

    sin-1(1.5)

  7. If a parabolic reflector is 20 em in diameter and 5 em deep, then its focus is

    (a)

    (0,5)

    (b)

    (5,0)

    (c)

    (10,0)

    (d)

    (0, 10)

  8. The line y = mx +1 is a tangent to the parabola y2 = 4x if m = ______________

    (a)

    1

    (b)

    2

    (c)

    3

    (d)

    4

  9. The least value of a when f f(x) =x2+ax+1 is increasing on (1, 2) is

    (a)

    -2

    (b)

    2

    (c)

    1

    (d)

    -1

  10. If u = log (x3 + y3 + z3 - 3xyz) then \(\frac { { \partial }u }{ \partial { x } } +\frac { { \partial }u }{ { \partial y } }+ \frac { { \partial }u }{ \partial z } \) =

    (a)

    \(\frac { 3 }{ x+y+z } \)

    (b)

    x+y+z

    (c)

    \(\frac { -9 }{ { (x+y+z) }^{ 2 } } \)

    (d)

    \(\frac { -9 }{ { (x+y+z) }^{ 2 } } \)

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