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11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Four

11th Standard

    Reg.No. :
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Maths

Time : 00:10:00 Hrs
Total Marks : 10

    Answer all the questions

    10 x 1 = 10
  1. The range of the function \(f(x) = \left| \left\lfloor x \right\rfloor - x \right| ,x \in R\)  is 

    (a)

    [0, 1]

    (b)

    [0, ∞)

    (c)

    [0, 1)

    (d)

    (0, 1)

  2. The condition that the equation ax2 + bx + c = 0 may have one root is the double the other is:

    (a)

    2b2 = 9ac

    (b)

    b2= ac

    (c)

    b2 = 4ac

    (d)

    9b2 = 2ac

  3. If \(\alpha\) and \(\beta\) are two values of θ obtained from the equation a cosθ+b sinθ=c then the value of \(tan(\frac{\alpha+\beta}{2})\) is

    (a)

    \(\frac{a}{b}\)

    (b)

    \(\frac{b}{a}\)

    (c)

    \(\frac{c}{a}\)

    (d)

    \(\frac{c}{b}\)

  4. a polygon has 44 diagonals, then the number of its sides are

    (a)

    22

    (b)

    88

    (c)

    8

    (d)

    11

  5. \(\frac{1}{q+r},\frac{1}{r+p},\frac{1}{p+q}\) are in A.P., then

    (a)

    p,q,r are inA.P

    (b)

    p2,q2,r2 are inA.P

    (c)

    \(\frac{1}{p},\frac{1}{q},\frac{1}{r}\)

    (d)

    p,q,r are in H.P.

  6. Equation of the straight line that forms an isosceles triangle with coordinate axes in the I-quadrant with perimeter 4 + 2\(\sqrt{2}\) is

    (a)

    x+y+2=0

    (b)

    x+y-2=0

    (c)

    \(x+y-\sqrt{2}=0\)

    (d)

    \(x+y+\sqrt{2}=0\)

  7. If \(\left( \begin{matrix} 2 & \lambda & -3 \\ 0 & 2 & 5 \\ 1 & 1 & 3 \end{matrix} \right) \) is a singular matrix, then \(\lambda \) is

    (a)

    \(\lambda \)=2

    (b)

    \(\lambda \)≠2

    (c)

    \(\lambda =\frac { -8 }{ 5 } \)

    (d)

    \(\lambda \neq \frac { -8 }{ 5 } \)

  8. Two vertices of a triangle have position vectors \(3\hat{i}+4\hat{j}-4\hat{k}\) and\(2\hat{i}+3\hat{j}+4\hat{k}\)If the position vector of the centroid is \(\hat{i}+2\hat{j}+3\hat{k}\) ,then the position vector of the third vertex is

    (a)

    \(-2\hat{i}-\hat{j}+9\hat{k}\)

    (b)

    \(-2\hat{i}-\hat{j}-6\hat{k}\)

    (c)

    \(2\hat{i}-\hat{j}+6\hat{k}\)

    (d)

    \(-2\hat{i}+\hat{j}+6\hat{k}\)

  9. \(\lim _{ x\rightarrow \infty }{ \left( \frac { 1 }{ x } +2 \right) } \)is equal to

    (a)

    \(\infty \)

    (b)

    0

    (c)

    1

    (d)

    2

  10. Choose the correct or the most suitable answer from the given four alternatives.
    \(If\quad y=\log { \left( \frac { 1-{ x }^{ 2 } }{ 1+{ x }^{ 2 } } \right) } then\quad \frac { dy }{ dx } \quad is\)

    (a)

    \(\frac { 4{ x }^{ 3 } }{ 1-{ x }^{ 4 } } \)

    (b)

    \(-\frac { 4x }{ 1-{ x }^{ 4 } } \)

    (c)

    \(\frac { 1 }{ 4-{ x }^{ 4 } } \)

    (d)

    \(\frac { -4{ x }^{ 3 } }{ 1-{ x }^{ 4 } } \)

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