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

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 function f(x) = log (x + \(\sqrt{x^2+1}\)) is

    (a)

    an even function

    (b)

    an odd function

    (c)

    a periodic function

    (d)

    neither an even nor an odd function

  2. If a and b are the roots of the equation x2-kx+16=0 and a2+b2=32 then the value of k is

    (a)

    10

    (b)

    -8

    (c)

    -8,8

    (d)

    6

  3. The number of real solution of |2x-x2-3|=1 is

    (a)

    0

    (b)

    2

    (c)

    3

    (d)

    4

  4. If nPr=k x n-1Pr-1 what is k:

    (a)

    r

    (b)

    n

    (c)

    n+1

    (d)

    r+1

  5. Choose the incorrect pair:

    (a)

    10C1 - 10C9

    (b)

    10C3 - 10C7

    (c)

    10C4 - 10C6

    (d)

    10C5 - 10C2

  6. If the sum of n terms of an A. P. be 3n2 - n and its common difference is 6, then its first term is

    (a)

    2

    (b)

    3

    (c)

    1

    (d)

    4

  7. The sum of the series \(\frac { 1 }{ { log }_{ 2 }^{ 4 } } +\frac { 1 }{ { log }_{ 4 }^{ 4 } } +\frac { 1 }{ { log }_{ 8 }^{ 4 } } +.....+\frac { 1 }{ { log }_{ { 2 }^{ n } }^{ 4 } } is\)

    (a)

    \(\frac { n(n+1) }{ 2 } \)

    (b)

    \(\frac { n(n+1)(2n+1) }{ 2 } \)

    (c)

    \(\frac { n(n+1) }{ 4 } \)

    (d)

    none of these

  8. If a is the arithmetic mean and g is the geometric mean of two numbers, then

    (a)

    \(\le \) g

    (b)

    \(\ge\) g

    (c)

    a = g

    (d)

    a > g

  9. The locus of a point which moves such that it maintains equal distances from two fixed points is a

    (a)

    straight line

    (b)

    line bisector

    (c)

    pair of straight lines

    (d)

    angle bisector

  10. If g(x)=(x2+2x+3) f(x) and f(0)=5 and \(lim_{x \rightarrow 0}{f(x)-5\over x}=4\),then g'(0) is 

    (a)

    20

    (b)

    14

    (c)

    18

    (d)

    12

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