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CBSE [All India ]_X_Mathematics_2008_Set II

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  • Q1

    In figure, if  ATO = 400, find AOB.  

     

     

     

    Marks:1
    Answer:

     

    Given, ATO = 400, AOT = 500.

    Now,   AOB = 2 AOT

                          = 1000.  

    View Answer
  • Q2

    If tan = cot(30 +  ), find the value of .

    Marks:1
    Answer:

    Given,
         tan = cot(30 + )
    tan = tan(90 - (30 + ))    [ cot = tan(90 - )]
         = 60 -
        2 = 60   or  = 30

    View Answer
  • Q3

    Find the perimeter of figure, where AED is a semi-circle and ABCD is a rectangle. 

     

    Marks:1
    Answer:

    Perimeter of figure = AB + BC + CD + length of AED

                              = 20 + 14 + 20 + half of the circumference of the circle 

                              = (54 + 22) cm

                              = 76 cm. 

    View Answer
  • Q4

    A bag contains 4 red and 6 black balls. A ball is taken out of the bag at random. Find the probability of getting a black ball.

    Marks:1
    Answer:

    Total numbers of outcomes (balls) = 6 + 4 = 10

    Number of black balls = 6
    Probability of getting black ball = (6/10) = (3/5)

    View Answer
  • Q5

    Find the median of the following data:  

    Marks obtained 0-10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60
    Frequency 8 10 12 22 30 18

     

    Marks:1
    Answer:

    Class Intervals Frequency Cumulative frequency
    0 - 10 8 8
    10 - 20 10 18
    20 - 30 12 30
    30 - 40 22 52
    40 - 50 30 82
    50 - 60 18 100
      N = fi = 100  

     

    N = fi = 100, (N/2 = 50)

    Now, 30- 40 is the class whose cumulative frequency 52 is greater than N/2 = 50.

    Therefore, 30-40 is the median class. 

    View Answer
  • Q6

    Write a rational number between  2 and 3..

    Marks:1
    Answer:

    2 = 1.414 (approx), 3 = 1.732 (approx)

    3/2 lies between 2 and 3.

    View Answer
  • Q7

    Write the number of zeros of the polynomials Y = f(x), whose graph is given in the figure.

      

    Marks:1
    Answer:

    The number of zeroes are 3 as the graph intersects the x-axis at three points.

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  • Q8

    Is x = -3 a solution of the equation 2x2 + 5x + 3 = 0 ?

    Marks:1
    Answer:

    On putting x= -3 in equation 2x2 + 5x + 3 = 0, we have
    LHS = 2 x 9 - 15 +3

    = 6 0.

    LHS RHS.

    Thus, x = -3 is not a solution of the given equation.

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  • Q9

    D, E and F are the mid-points of the sides AB, BC and CA respectively of ABC. 
    Find [ar(DEF)/ar(ABC)].

    Marks:1
    Answer:

    View Answer
  • Q10

    Write the next term of the A.P 8, 18, 32, ...

     

    Marks:1
    Answer:

     8, 18, 32, ... = 22, 32, 42, ...

    So, the next term will be 52.

    View Answer

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