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12th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - 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. The augmented matrix of a system of linear equations is \(\left[ \begin{matrix} 1 \\ \begin{matrix} 0 \\ 0 \end{matrix} \end{matrix}\begin{matrix} 2 \\ \begin{matrix} 1 \\ 0 \end{matrix} \end{matrix}\begin{matrix} 7 \\ \begin{matrix} 4 \\ \lambda -7 \end{matrix} \end{matrix}\begin{matrix} 3 \\ \begin{matrix} 6 \\ \mu +5 \end{matrix} \end{matrix} \right] \). The system has infinitely many solutions if

    (a)

    λ = 7, μ ≠ -5

    (b)

    λ = 7, μ = 5

    (c)

    λ ≠ 7, μ ≠ -5

    (d)

    λ = 7, μ = -5

  2. If |z1|=1,|z2|=2|z3|=3 and |9z1z2+4z1z3+z2z3|=12, then the value of |z1+z2+z3| is 

    (a)

    1

    (b)

    2

    (c)

    3

    (d)

    4

  3. When the eccentricity of a ellipse becomes zero, then it becomes a

    (a)

    straight line

    (b)

    circle

    (c)

    point

    (d)

    parabola

  4. The angle between the lines \(\frac { x-2 }{ 3 } =\frac { y+1 }{ -2 } \), z=2 and \(\frac { x-1 }{ 1 } =\frac { 2y+3 }{ 3 } =\frac { z+5 }{ 2 } \)

    (a)

    \(\frac{\pi}{6}\)

    (b)

    \(\frac{\pi}{4}\)

    (c)

    \(\frac{\pi}{3}\)

    (d)

    \(\frac{\pi}{2}\)

  5. The number given by the Mean value theorem for the function \(\cfrac { 1 }{ x } \),x∈[1,9] is

    (a)

    2

    (b)

    2.5

    (c)

    3

    (d)

    3.5

  6. Linear approximation for g(x) = cos x at x=\(\frac{-\pi}{2}\) is

    (a)

    x + \(\frac{-\pi}{2}\)

    (b)

    - x + \(\frac{\pi}{2}\)

    (c)

    x - \(\frac{\pi}{2}\)

    (d)

    - x + \(\frac{\pi}{2}\)

  7. The degree of the differential equation y \(y(x)=1+\frac { dy }{ dx } +\frac { 1 }{ 1.2 } { \left( \frac { dy }{ dx } \right) }^{ 2 }+\frac { 1 }{ 1.2.3 } { \left( \frac { dy }{ dx } \right) }^{ 3 }+....\) is

    (a)

    2

    (b)

    3

    (c)

    1

    (d)

    4

  8. The solution of \(\frac{dy}{dx}+y\) cot x=sin 2x is

    (a)

    y sin x=\(\frac{2}{3}\)sin3x+c

    (b)

    y sec x=\(\frac{x^2}{2}+c\)

    (c)

    y sin x =c+x

    (d)

    2y sin x=sin x-\(\frac{sin\ 3x}{3}+c\)

  9. In the set Q define a⊙b= a+b+ab. For what value of y, 3⊙(y⊙5)=7?

    (a)

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

    (b)

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

    (c)

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

    (d)

    y=4

  10. Which of the following is a contradiction?

    (a)

    p v q

    (b)

    p ∧ q

    (c)

    q v ~ q

    (d)

    q ∧ ~ q

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