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

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, B and C are invertible matrices of some order, then which one of the following is not true?

    (a)

    adj A = |A|A-1

    (b)

    adj(AB) = (adj A)(adj B)

    (c)

    det A-1 = (det A)-1

    (d)

    (ABC)-1 = C-1B-1A-1

  2. If A = \(\left[ \begin{matrix} 2 & 3 \\ 5 & -2 \end{matrix} \right] \) be such that λA−1 =A, then λ is

    (a)

    17

    (b)

    14

    (c)

    19

    (d)

    21

  3. According to the rational root theorem, which number is not possible rational root of 4x7+2x4-10x3-5?

    (a)

    -1

    (b)

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

    (c)

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

    (d)

    5

  4. If sin-1 x+sin-1 y+sin-1 z=\(\frac{3\pi}{2}\), the value of x2017+y2018+z2019\(-\frac { 9 }{ { x }^{ 101 }+{ y }^{ 101 }+{ z }^{ 101 } } \)is

    (a)

    0

    (b)

    1

    (c)

    2

    (d)

    3

  5. The equation of the normal to the circle x2+y2−2x−2y+1=0 which is parallel to the line
    2x+4y=3 is

    (a)

    x+2y=3

    (b)

    x+2y+3= 0

    (c)

    2x+4y+3=0

    (d)

    x−2y+3= 0

  6. If \([\vec { a } ,\vec { b } ,\vec { c } ]=1\)\(\frac { \vec { a } .(\vec { b } \times \vec { c } ) }{ (\vec { c } \times \vec { a } ).\vec { b } ) } +\frac { \vec { b } .(\vec { c } \times \vec { a } ) }{ (\vec { a } \times \vec { b } ).\vec { c } } +\frac { \vec { c } .(\vec { a } \times \vec { b } ) }{ (\vec { c } \times \vec { b } ).\vec { a } } \) is

    (a)

    1

    (b)

    -1

    (c)

    2

    (d)

    3

  7. The abscissa of the point on the curve \(f\left( x \right) =\sqrt { 8-2x } \) at which the slope of the tangent is -0.25 ?

    (a)

    -8

    (b)

    -4

    (c)

    -2

    (d)

    0

  8. If w (x, y) = xy, x > 0, then \(\frac { \partial w }{ \partial x } \) is equal to

    (a)

    xy log x

    (b)

    y log x

    (c)

    yxy-1

    (d)

    x log y

  9. The value of \(\int _{ 0 }^{ \frac { \pi }{ 6 } }{ { cos }^{ 3 }3xdx } \)

    (a)

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

    (b)

    \(\frac{2}{9}\)

    (c)

    \(\frac{1}{9}\)

    (d)

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

  10. The solution of the differential equation 2x\(\frac{dy}{dx}-y=3\)represents

    (a)

    straight lines

    (b)

    circles

    (c)

    parabola

    (d)

    ellipse

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