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

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 n((A x B) ∩(A x C)) = 8 and n(B ∩ C) = 2, then n(A) is

    (a)

    6

    (b)

    4

    (c)

    8

    (d)

    16

  2. Domain of the function \(y={x-1\over x+1}\) is:

    (a)

    1R

    (b)

    Q

    (c)

    R-(-1)

    (d)

    R-1

  3. Which one of the following is false?

    (a)

    (A')' = A

    (b)

    AUA' = A

    (c)

    A⋂A' = Ø

    (d)

    AUA' = U

  4. Find a so that the sum and product of the roots of the equation 2x2+(a-3)x+3a-5 = 0 are equal is

    (a)

    1

    (b)

    2

    (c)

    0

    (d)

    4

  5. If \(\alpha\) and \(\beta\) are the roots of 2x2 - 3x - 4 = 0 find the value of \(\alpha^2+\beta^2\)

    (a)

    \(\frac{41}{4}\)

    (b)

    \(\frac{\sqrt{14}}{2}\)

    (c)

    0

    (d)

    none of these

  6. There is a letter lock with 3 rings each marked with 5 letters and do not know the keyword. The total number of attempts can be made to know the keyword is

    (a)

    35

    (b)

    53

    (c)

    124

    (d)

    5

  7. Assertion (A): Every body in a room shakes hands with everybody else. The total number of persons in the room is n. The number of hand shakes is \(\frac{n(n-1)}{2}\)
    Reason (R): The number of handshakes is nC2

    (a)

    Both A and R are true and R is the correct explanation of A

    (b)

    Both A and R are true but R is not the correct explantion of A

    (c)

    A is true R is false

    (d)

    is false R is true

  8. The nth term of a G. Pis 128 and the sum of its n terms is 225. If its common ratio is 2, then its first term is

    (a)

    1

    (b)

    3

    (c)

    8

    (d)

    none of these 

  9. The distance between the line 12x - 5y + 9 = 0 and the point (2, 1) is

    (a)

    \(\pm\frac{28}{13}\)

    (b)

    \(\frac{28}{13}\)

    (c)

    \(-\frac{28}{13}\)

    (d)

    none of these

  10. At x\(={3\over 2}\) the function \(f(x)={|2x-3|\over 2x-3}\) is

    (a)

    continuous

    (b)

    discontinuous

    (c)

    differentiable

    (d)

    non-zero

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