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

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 A = {(x,y) : y = sin x, x ∈ R} and B = {(x,y) : y = cos x, x ∈ R} then A∩B contains

    (a)

    no element

    (b)

    infinitely many elements

    (c)

    only one element

    (d)

    cannot be determined

  2. Let R be the set of all real numbers. Consider the following subsets of the plane R x R: S = {(x, y) : y =x + 1 and 0 < x < 2} and T = {(x,y) : x - y is an integer} Then which of the following is true?

    (a)

    T is an equivalence relation but S is not an equivalence relation

    (b)

    Neither S nor T is an equivalence relation

    (c)

    Both S and T are equivalence relation

    (d)

    S is an equivalence relation but T is not an equivalence relation.

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

    (a)

    1R

    (b)

    Q

    (c)

    R-(-1)

    (d)

    R-1

  4. The number of solution of x2+|x-1|=1 is

    (a)

    1

    (b)

    0

    (c)

    2

    (d)

    3

  5. Choose the incorrect statement

    (a)

    Matrix multiplication is non commutative

    (b)

    Matrix addition is associative

    (c)

    Singular matrices have inverse

    (d)

    Non singular matrices have inverse

  6. A function f(x) is said to be continuous at x=a if  \(\lim _{ x\rightarrow a }{ f\left( x \right) } \)is equal to

    (a)

    \(f\left( a \right) \)

    (b)

    \(f\left( -a \right) \)

    (c)

    \(2f\left( a \right) \)

    (d)

    \(f\left( \frac { 1 }{ a } \right) \)

  7. Choose the correct or the most suitable answer from the given four alternatives.
    If f(x) is an even functions, thenf'(x) is an ______function

    (a)

    even

    (b)

    odd

    (c)

    even and odd

    (d)

    even or odd

  8. Assertion (A):f (x) =\(\begin{cases} \begin{matrix} x+1, & x<2 \end{matrix} \\ \begin{matrix} 2x-1, & x\ge 2 \end{matrix} \end{cases}\) then f'(2) does not exist.
    Reason (R) :f(x) is not continuous at 2.

    (a)

    Both A and it 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)

    A is false R is true

  9. \(\int tan^{-1}\sqrt{1-cos \ 2x\over 1+cos \ 2x}dx\) is

    (a)

    x2+c

    (b)

    2x2+c

    (c)

    \({x^2\over2}+c\)

    (d)

    \(-{x^2\over2}+c\)

  10. \(\int { \frac { { 4x }^{ 3 }+1 }{ { x }^{ 4 }+x } } \) dx = __________ + c.

    (a)

    log (4x3  +1)

    (b)

    log (x4 + x)

    (c)

    log (4x3)

    (d)

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

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