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12th Standard Maths English Medium Free Online Test Creative 1 Mark Questions - Part Three

12th Standard

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Maths

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

    Answer all the questions

    10 x 1 = 10
  1. The system of linear equations x + y + z = 2, 2x + y - z = 3, 3x + 2y + kz = has a unique solution if

    (a)

    k ≠ 0

    (b)

    -1 < k < 1

    (c)

    -2 < k < 2

    (d)

    k=0

  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. 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

  4. If tan-1(3)+tan-1(x)=tan-1(8)then x= 

    (a)

    5

    (b)

    \(\cfrac { 1 }{ 5 } \)

    (c)

    \(\cfrac { 5 }{ 14 } \)

    (d)

    \(\cfrac { 14 }{ 5 } \)

  5. The director circle of the ellipse \(\frac { { x }^{ 2 } }{ 9 } -\frac { { y }^{ 2 } }{ 5 } =1\) is

    (a)

    x2 + y2 = 4

    (b)

    x2 +y2 = 9

    (c)

    x2 +y2 = 45

    (d)

    x2 +y2 = 14

  6. If \(\overset { \rightarrow }{ a } \) and \(\overset { \rightarrow }{ b } \) are two unit vectors, then the vectors \(\left( \overset { \rightarrow }{ a } +\overset { \rightarrow }{ b } \right) \times \left( \overset { \rightarrow }{ a } \times \overset { \rightarrow }{ b } \right) \) is parallel to the vector

    (a)

    \(\overset { \rightarrow }{ a } -\overset { \rightarrow }{ b } \)

    (b)

    \(\overset { \rightarrow }{ a } +\overset { \rightarrow }{ b } \)

    (c)

    2\(\overset { \rightarrow }{ a } -\overset { \rightarrow }{ b } \)

    (d)

    2\(\overset { \rightarrow }{ a } +\overset { \rightarrow }{ b } \)

  7. The work done by the force \(\overset { \rightarrow }{ F } =\overset { \wedge }{ i } +\overset { \wedge }{ j } +\overset { \wedge }{ k } \) acting on a particle, if the particle is displaced from A(3, 3, 3) to the point B(4, 4, 4) is _______________ units

    (a)

    2

    (b)

    3

    (c)

    4

    (d)

    7

  8. 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

  9. 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)

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

  10. The area enclosed by the curve y = \(\frac { { x }^{ 2 } }{ 2 } \) , the x - axis and the lines x = 1, x = 3 is

    (a)

    4

    (b)

    8\(\frac23\)

    (c)

    13

    (d)

    4\(\frac{1}{3}\)

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