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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 zero of 4x+ 2x- 10x- 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 x+ y− 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 \([\vec{a}, \vec{b}, \vec{c}]=1\), then the value of \(\frac{\vec{a} \cdot(\vec{b} \times \vec{c})}{(\vec{c} \times \vec{a}) \cdot \vec{b}}+\frac{\vec{b} \cdot(\vec{c} \times \vec{a})}{(\vec{a} \times \vec{b}) \cdot \vec{c}}+\frac{\vec{c} \cdot(\vec{a} \times \vec{b})}{(\vec{c} \times \vec{b}) \cdot \vec{a}}\) 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 \(\int _{ 0 }^{ \frac { \pi }{ 6 } }{ { cos }^{ 3 }3x\ dx }\ is\)

    (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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