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12th Standard Maths English Medium Free Online Test Creative 1 Mark Questions - 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 A =\(\left( \begin{matrix} cosx & sinx \\ -sinx & cosx \end{matrix} \right) \) and A(adj A) =\(\lambda \) \(\left( \begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix} \right) \) then \(\lambda \) is

    (a)

    sinx cosx

    (b)

    1

    (c)

    2

    (d)

    none

  2. If a = 1+i, then a2 equals

    (a)

    1-i

    (b)

    2i

    (c)

    (1+i)(1-i)

    (d)

    i-1

  3. If x is real and \(\frac { { x }^{ 2 }-x+1 }{ { x }^{ 2 }+x+1 } \) then

    (a)

    \(\frac{1}{3}\) ≤k≤

    (b)

    k≥5

    (c)

    k≤0

    (d)

    none

  4. The number of real solutions of the equation \(\sqrt { 1+cos2x } ={ 2sin }^{ -1 }\left( sinx \right) ,-\pi <x<\pi \) is

    (a)

    0

    (b)

    1

    (c)

    2

    (d)

    infinte

  5. Equation of tangent at (-4, -4) on x2 = -4y is

    (a)

    2x - y + 4 = 0

    (b)

    2x + y - 4 = 0

    (c)

    2x - y - 12 = 0

    (d)

    2x + y + 4 = 0

  6. 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

  7. Equation of the normal to the curve y=2x2+3 sin x at x=0 is

    (a)

    x + y = 0

    (b)

    3y = 0

    (c)

    x + 3y = 7

    (d)

    x + 3y = 0

  8. If x = r cos θ, y = r sin, then \(\frac { \partial r }{ \partial x } \) = ....................

    (a)

    sec θ

    (b)

    sin θ

    (c)

    cos θ

    (d)

    cosec θ

  9. The solution of (x2-ay)dx=(ax-y2)dy is

    (a)

    y=x2+y2-a(x+y)

    (b)

    y=x2+y2-a(x+y)

    (c)

    x3+y2=3ayx+c

    (d)

    (x2-ay)(ax-y2)=0

  10. The Identity element of \(\left\{ \left( \begin{matrix} x & x \\ x & x \end{matrix} \right) \right\} \) |x\(\in \)R, x≠0} under matrix multiplication is

    (a)

    \(\left( \begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix} \right) \)

    (b)

    \(\left( \begin{matrix} \frac { 1 }{ 4x } & \frac { 1 }{ 4x } \\ \frac { 1 }{ 4x } & \frac { 1 }{ 4x } \end{matrix} \right) \)

    (c)

    \(\left( \begin{matrix} \frac { 1 }{ 2 } & \frac { 1 }{ 2 } \\ \frac { 1 }{ 2 } & \frac { 1 }{ 2 } \end{matrix} \right) \)

    (d)

    \(\left( \begin{matrix} \frac { 1 }{ 2x } & \frac { 1 }{ 2x } \\ \frac { 1 }{ 2x } & \frac { 1 }{ 2x } \end{matrix} \right) \)

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