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

12th Standard EM

    Reg.No. :
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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. 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

  4. ·If \(\alpha ={ tan }^{ -1 }\left( \cfrac { \sqrt { 3 } }{ 2y-x } \right) ,\beta ={ tan }^{ -1 }\left( \cfrac { 2x-y }{ \sqrt { 3y } } \right) \) then \(\alpha -\beta \)

    (a)

    \(\cfrac { \pi }{ 6 } \)

    (b)

    \(\cfrac { \pi }{ 3 } \)

    (c)

    \(\cfrac { \pi }{ 2 } \)

    (d)

    \(\cfrac { -\pi }{ 3 } \)

  5. y2 - 2x - 2y + 5 = 0 is a

    (a)

    circle

    (b)

    parabola

    (c)

    ellipse

    (d)

    hyperbola

  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. 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 I.F. of (1+y2)dx=(tan-1-t-x)dy is ________.

    (a)

    etan-1 y

    (b)

    etan-1 x

    (c)

    tan-1 y

    (d)

    tan-1x

  10. Define * on Z by a*b = a+b+1 ∀ a,b \(\in \) Z. Then the identity element of z is

    (a)

    1

    (b)

    0

    (c)

    1

    (d)

    -1

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