CBSE [All India]_XII_Mathematics_2005_Set I

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  • Q1

    Marks:3
    Answer:

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  • Q2

    Using properties of determinants, solve for x:


    Marks:3
    Answer:

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  • Q3

    An integer is chosen at random from the first 200 positive integers. Find the probability that it is divisible by 6 or 8.

    Marks:3
    Answer:

    No longer in CBSE class 12th syllabus.

    Let event A: Integer divisible by 6

    event B: Integer divisible by 8

    Then n(A)=33,  n(B)=25  and n(AB)=8

    P(divisible by 6 or 8)= P(A)+P(B)–P(AB)

    =33/200 +25/200-8/200

    =50/200 = 1/4                             

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  • Q4

    X is taking up subjects-Mathematics, Physics and Chemistry in the examination, His probability of getting Grade A in these subjects are 0.2, 0.3, and 0.5 respectively. Find the probability that he gets: 

    (i)   grade A in all subjects.

    (ii)  grade A in no subject.

    (iii) grade A in two subjects.

    Marks:3
    Answer:

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  • Q5

    Evaluate 

    Marks:3
    Answer:

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  • Q6

    Marks:3
    Answer:

     

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  • Q7

    Solve the following differential equation:

     

    Marks:3
    Answer:

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  • Q8

    Solve the following differential equation: 

    Marks:3
    Answer:

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  • Q9

    Solve the following differential equation:

    Marks:3
    Answer:

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  • Q10

    Marks:3
    Answer:

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