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

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. Which of the following is not an elementary transformation?

    (a)

    Ri ↔️ Rj

    (b)

    Ri ⟶ 2Ri + Rj

    (c)

    Cj ⟶ Cj + Ci

    (d)

    Ri ⟶ Ri + Cj

  2. If z=\(\frac { 1 }{ 1-cos\theta -isin\theta } \), the Re(z) =

    (a)

    0

    (b)

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

    (c)

    cot\(\frac { \theta }{ 2 } \)

    (d)

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

  3. If z1, z2, z3 are the vertices of a parallelogram, then the fourth vertex z4 opposite to z2 is _____

    (a)

    z1 + z2 - z2

    (b)

    z1 + z2 - z3

    (c)

    z1 + z2 - z3

    (d)

    z1 - z2 - z3

  4. If ∝, β,૪ are the roots of 9x3-7x+6=0, then ∝ β ૪ is __________

    (a)

    \(\frac{-7}{9}\)

    (b)

    \(\frac{7}{9}\)

    (c)

    0

    (d)

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

  5. If \({ tan }^{ -1 }\left( \cfrac { x+1 }{ x-1 } \right) +{ tan }^{ -1 }\left( \cfrac { x-1 }{ x } \right) ={ tan }^{ -1 }\left( -7 \right) \) then x Is

    (a)

    0

    (b)

    -2

    (c)

    1

    (d)

    2

  6. In an ellipse, the distance between its foci is 6 and its minor axis is 8, then e is

    (a)

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

    (b)

    \(\frac { 1 }{ \sqrt { 52 } } \)

    (c)

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

    (d)

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

  7. If \(\overset { \rightarrow }{ d } =\overset { \rightarrow }{ a } \times \left( \overset { \rightarrow }{ b } \times \overset { \rightarrow }{ c } \right) +\overset { \rightarrow }{ b } \times \left( \overset { \rightarrow }{ c } \times \overset { \rightarrow }{ a } \right) +\overset { \rightarrow }{ c } \times \left( \overset { \rightarrow }{ a } +\overset { \rightarrow }{ b } \right) \), then

    (a)

    \(\left| \overset { \rightarrow }{ d } \right| \)

    (b)

    \(\overset { \rightarrow }{ d } =\overset { \rightarrow }{ a } +\overset { \rightarrow }{ b } +\overset { \rightarrow }{ c } \)

    (c)

    \(\overset { \rightarrow }{ d } =\overset { \rightarrow }{ 0 } \)

    (d)

    a, b, c are coplanar

  8. The equation of the tangent to the curve y=x2-4x+2 at (4,2) is

    (a)

    x + 4y + 12 = 0

    (b)

    4x + y + 12 = 0

    (c)

    4x - y - 14 = 0

    (d)

    x + 4y - 12 = 0

  9. If f (x, y) = x3 + y3 - 3xythen \(\frac { { \partial }f }{ \partial { x } } \) at x = 2,

    (a)

    -15

    (b)

    15

    (c)

    -9

    (d)

    16

  10. The ratio of the volumes generated by revolving the ellipse \(\frac { { x }^{ 2 } }{ 9 } +\frac { { y }^{ 2 } }{ 4 } \) = 1 about major and minor axes is

    (a)

    4:9

    (b)

    9:4

    (c)

    2:3

    (d)

    3:2

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