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11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Six

11th Standard

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Maths

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

    Answer all the questions

    10 x 1 = 10
  1. If two sets A and B have 17 elements in common, then the number of elements common to the set A x B and B x A is

    (a)

    217

    (b)

    172

    (c)

    34

    (d)

    insufficient data

  2. Which one of the following statements is false? The graph of the function \(f(x)={1\over x}\)

    (a)

    exist is the first and third quadrant only

    (b)

    is a reciprocal function

    (c)

    is defined at x = 0

    (d)

    it is symmetric about y = x and y = - x.

  3. If |x+3| ≥10 then

    (a)

    x ∊ (-13,7]

    (b)

    x ∊ [-13,7)

    (c)

    x ∊ (-∞,-13] ᴗ [7,∞)

    (d)

    x ∊ (-∞,-13] ᴗ [7,∞)

  4. The quadratic equation whose roots are tan75° and cot75° is:

    (a)

    x2+4x+ 1 =0

    (b)

    4x2-x+ 1 =0

    (c)

    4x2+ 4x - 1 = 0

    (d)

    x2 - 4x + 1 = 0

  5. If 10n + 3 \(\times\) 4n+2+\(\lambda \) is divisible by 9 for all n \(\in \)N, then the least positive integral value of \(\lambda \) is

    (a)

    5

    (b)

    3

    (c)

    7

    (d)

    1

  6. The number of integers greater than 6000 that can be formed, using the digits 3, 5, 6, 7 and 8 without repetition

    (a)

    216

    (b)

    192

    (c)

    120

    (d)

    72

  7. The sum of the digits in the unit's place of all the 4- digit numbers formed by 3, 4, 5 and 6, without repetition, is _______.

    (a)

    432

    (b)

    108

    (c)

    36

    (d)

    72

  8. \(\frac{2}{1!}+\frac{4}{3!}+\frac{6}{5!}+. . .\infty =\)

    (a)

    e

    (b)

    2e

    (c)

    \(\frac{1}{e}\)

    (d)

    e2

  9. If the square of the matrix \(\begin{bmatrix} \alpha & \beta \\ \gamma & -\alpha \end{bmatrix}\) is the unit matrix of order 2, then\(\alpha ,\beta \) and \(\gamma\) should satisfy the relation.

    (a)

    1+\(\alpha ^2+\beta \gamma=0\)

    (b)

    1-\(\alpha ^2-\beta \gamma=0\)

    (c)

    1-\(\alpha ^2+\beta \gamma=0\)

    (d)

    1+\(\alpha ^2-\beta \gamma=0\)

  10. If the projection of \(5\hat{i}-\hat{j}-3\hat{k}\) on the vector \(\hat{i}+3\hat{j}+\lambda\hat{k}\) is same as the projection of \(\hat{i}+3\hat{j}+\lambda\hat{k}\) on \(5\hat{i}-\hat{j}-3\hat{k}\)then \(\lambda\) is equal to

    (a)

    \(\pm 4\)

    (b)

    \(\pm 3\)

    (c)

    \(\pm 5\)

    (d)

    \(\pm 1\)

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