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

11th Standard

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Maths

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

    Answer all the questions

    10 x 1 = 10
  1. 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.

  2. \(n(p(A))=512,n(p(B))=32,n(A\cup B)=16,\) find \(n(A\cap B):\)

    (a)

    2

    (b)

    9

    (c)

    4

    (d)

    5

  3. If A and B are any two finite sets having m and n elements respectively then the cardinality of the power set of A x B is

    (a)

    2m

    (b)

    2n

    (c)

    mn

    (d)

    2mn

  4. The value of log108+log105-log10=

    (a)

    \({ log }_{ 10 }^{ 9 }\)

    (b)

    \({ log }_{ 10 }^{ 36 }\)

    (c)

    1

    (d)

    -1

  5. Everybody in a room shakes hands with everybody else. The total number of handshakes is 91. The total number of persons in the room is

    (a)

    11

    (b)

    14

    (c)

    13

    (d)

    12

  6. Choose the incorrect pair:

    (a)

    \(\frac{d}{dx}(sin x)\) - cos x

    (b)

    \(\frac{d}{dx}(tanx)\) - sec2x

    (c)

    \(\frac{d}{dx}(cos x)\) - sin x

    (d)

    \(\frac{d}{dx}(logx)\) - \(\frac{1}{x}\)

  7. 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)

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

  8. The lines ax+y+1=0,x+by+1=0 and x+y+c=0(a≠b≠c≠1) are concurrent, then the value of \(\frac{1}{1-a}+\frac{1}{1-b}+\frac{1}{1-c}=\)

    (a)

    -1

    (b)

    1

    (c)

    0

    (d)

    abc

  9. The projection of \(\overrightarrow { b } \) on \(\overrightarrow { a } \) is

    (a)

    \(\left( \frac { \overrightarrow { a } .\overrightarrow { b } }{ |\overrightarrow { b } | } \right) \overrightarrow { b } \)

    (b)

    \(\frac { \overrightarrow { a } .\overrightarrow { b } }{ |\overrightarrow { b } | } \)

    (c)

    \(\frac { \overrightarrow { a } .\overrightarrow { b } }{ |\overrightarrow { a } | } \)

    (d)

    \(\left( \frac { \overrightarrow { a } .\overrightarrow { b } }{ |\overrightarrow { a } | } \right) \)

  10. \(lim_{\theta\rightarrow0}{Sin\sqrt{\theta}\over \sqrt{sin \theta}} \)

    (a)

    1

    (b)

    -1

    (c)

    0

    (d)

    2

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