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11th Standard Maths English Medium Free Online Test Volume 1 One Mark Questions 2020

11th Standard

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Maths

Time : 00:25:00 Hrs
Total Marks : 25

    Answer all the questions

    25 x 1 = 25
  1. If A={1,2,3}, B={1,4,6,9} and R is a relation from A to B defined by "x is greater than y". The range of R is

    (a)

    {1,4,6,9}

    (b)

    {4,6,9}

    (c)

    {1}

    (d)

    None of these

  2. The relation R defined on a set A= {0,-1, 1, 2} by xRy if |x2+y2| ≤ 2, then which one of the following is true?

    (a)

    R = {(0,0), (0,-1), (0, 1), (-1, 0), (-1, 1), (1, 2), (1, 0)}

    (b)

    R-1 = {(0,0), (0,-1), (0, 1), (-1, 0), (1, 0)}

    (c)

    Domain of R is {0,-1, 1, 2}

    (d)

    Range of R is {0,-1, 1}

  3. The domain of the function \(f(x)=\sqrt{log_{10}{3-x\over x}}\)is

    (a)

    \((0,{3\over2})\)

    (b)

    (0, 3)

    (c)

    \((-\infty, {3\over2}]\)

    (d)

    \((0, {3\over2}]\)

  4. The domain and range of the function \(f(x)={|x-4|\over x-4}\)

    (a)

    R, [-1, 1]

    (b)

    R \ {4};{-1,1}

    (c)

    R \ {4};{-1,l}

    (d)

    R, (-1,1)

  5. The value of \({ log }_{ 3 }\frac { 1 }{ 81 } \) is

    (a)

    -2

    (b)

    -8

    (c)

    -4

    (d)

    -9

  6. \(\sqrt [ 4 ]{ 11 } \) is equal to

    (a)

    \(\sqrt [ 8 ]{ 11^{ 2 } } \)

    (b)

    \(\sqrt [ 8 ]{ 11^{ 4 } } \)

    (c)

    \(\sqrt [ 8 ]{ 11^{ 8 } } \)

    (d)

    \(\sqrt [ 8 ]{ 11^{ 6 } } \)

  7. The roots of the equation \(x+{1\over x}=3{1\over 3},x\ne 0\) are

    (a)

    1, 3

    (b)

    \({1\over 3},3\)

    (c)

    \(3,{-1\over 3}\)

    (d)

    \(1,{1\over 3}\)

  8. cos10+cos20+cos30+: : :+cos1790=

    (a)

    0

    (b)

    1

    (c)

    -1

    (d)

    89

  9. If sinθ=sin\(\alpha\), then the angles θ and \(\alpha\) are related by

    (a)

    \(\theta=n\pi\pm\alpha\)

    (b)

    \(\theta=2n\pi+(-1)^n\alpha\)

    (c)

    \(\alpha=n\pi\pm(-1)^n\theta\)

    (d)

    \(\theta=(2n+1)\pi+\alpha\)

  10. If cosA=cosB and sinA=sinB then

    (a)

    A+B=0

    (b)

    A=B

    (c)

    A+B=2nπ

    (d)

    A=B+2nπ

  11. Choose the incorrect pair:

    (a)

    sin x in IInd quadrant

    (b)

    cos x in Ist quadrant 1

    (c)

    sec x in IIst quadrant -2

    (d)

    tan x in IIIrd quadrant20

  12. The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines.

    (a)

    6

    (b)

    9

    (c)

    12

    (d)

    18

  13. There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two of them is

    (a)

    45

    (b)

    40

    (c)

    39

    (d)

    38

  14. The number of 4 digit numbers, that can be formed by the digits 3, 4, 5, 6, 7, 8, 0 and no digit is being repeated is

    (a)

    720

    (b)

    840

    (c)

    280

    (d)

    560

  15. The sum up to n terms of the series \(\sqrt { 2 } +\sqrt { 8 } +\sqrt { 18 } +\sqrt { 32 } +\).....is

    (a)

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

    (b)

    2n(n+1)

    (c)

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

    (d)

    1

  16. The series 1+4x+8x2+\(\frac { 32 }{ 3 } { x }^{ 3 }+.....+\infty \quad is\)

    (a)

    ex

    (b)

    e4x

    (c)

    e2x

    (d)

    e8x

  17. The larget coefficients in the expansion of (1 + X)24 is

    (a)

    24C24

    (b)

    24C13

    (c)

    24C12

    (d)

    24C11

  18. If the co-efficient of x in \({ \left( { x }^{ 2 }+\frac { \lambda }{ x } \right) }^{ 5 }\) is 270, then \(\lambda\) =

    (a)

    3

    (b)

    4

    (c)

    5

    (d)

    6

  19. Straight line joining the points (2, 3) and (-1, 4) passes through the point \((\alpha,\beta)\) if

    (a)

    \(\alpha+2\beta=7\)

    (b)

    \(3\alpha+\beta=9\)

    (c)

    \(\alpha+3\beta=11\)

    (d)

    \(3\alpha+\beta=11\)

  20. The area of the triangle formed by the lines x2 - 4y2 = 0 and x = a is

    (a)

    2a2

    (b)

    \(\frac{\sqrt3}{2}a^2\)

    (c)

    \(\frac12a^2\)

    (d)

    \(\frac{2}{\sqrt3}a^2\)

  21. Slope of X-axis or a line parallel to X-axis is

    (a)

    0

    (b)

    positive

    (c)

    negative

    (d)

    infinity

  22. 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

  23. The co-ordinates of the foot of the perpendicular drawn from the point (2,3) to the line 3x-y+4=0 is

    (a)

    \((\frac{1}{10},\frac{37}{10})\)

    (b)

    \((\frac{-1}{10},-\frac{37}{10})\)

    (c)

    \((\frac{-1}{10},\frac{37}{10})\)

    (d)

    \((\frac{37}{10},\frac{-1}{10})\)

  24. If h2=ab, then the lines represented by ax2+2hx+by2=0 are

    (a)

    parallel

    (b)

    perpendicular

    (c)

    coincident

    (d)

    None

  25. If one of the lines by 6x2-xy+4cy2=0 is 3x+4y=0, then c=

    (a)

    1

    (b)

    -1

    (c)

    3

    (d)

    -3

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