Solved question paper for BM May-2017 (BCA 2nd)

Basic Mathematics

Previous year question paper with solutions for Basic Mathematics May-2017

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Question paper 1

  1.                                                             SECTION-A

    1. (a)  Find square root of .

    Answer:

       = a+ ib

              Squaring on fothsides ;

     = 

     

                Since =

     =  7

     

      

    .

    Also 

  2. (b)  Prove that  

    Answer:

    (b) 

    Ans .

    L.H.S. 

    =

    ..

    =

    =

    = -81 

     =   R.H.S.

  3. 2. (a) Find the equation of circle passing through the points

    Answer:

    (a) at the q of the circle be

       

    And

    And

    Put in 

  4. (b)  Find equation of circle having end points of diameter As(2,5) and (3,9).

    Answer:

     

    Ans .thererd .q.will be

  5. 3, (a) Show that points (0,-1),(-2,3),(6,7) and (8,3) are the vertices of a rectangle.

    Answer:

    Ans,

       =

    =         =    =

    =         =    =

     =           =     = 10

     =-     = 1           = 10

     =           =        =

     

  6. (b) Find equations of sides of triangle containing sides with vertices (4,-2),(-2,4) and (5,5) Also Find area of triangle.

    Answer:

    Ans ,

    .

    .

  7. 4. (a)  Form an equation whose roots are squares of the reciprocal of the roots of the equation 

    Answer:

    Ans. Let the roots of the given

    .

    The roots of the read.eqn. 

    Are .

    :

    ;

     

    Now,put,in (2);

    .

  8. 8. (a) A pur of dles in thrown twlce . Find the probability of ncoring n total of 7

    (i) once.

    (ii) at least once.

    (iii) at most once.

    Answer:

    Ans ..

    .

    To get score 7(E)

    .

     

    (i) 

    (ii)

    (iii)

  9. (b) Find Initial solution of following problem by NWCM and  LCEM:

     

    A

    B

    C

    D

    E

    SUPPLY

    X

    55

    30

    40

    50

    50

    40

    Y

    35

    30

    100

    45

    60

    20

    Z

    45

    60

    95

    35

    30

    40

    Demand

    25

    10

    20

    30

    15

     

    Answer:

  10. SECTION-C

    (9) (a) Define symmetric and skew-symmetric matrices.

    Answer:

    . Symmetric Matruics :

    Skew – sym :

    .

  11. (b) Find a point on the line joining (0,4) and (2,0) that divides the line in 2 :3.

    Answer:

     

     

     

     

     

     

        

    ( 0,4)            ( 2,o) 

  12. (c) Find the probability that a leap year selected at random has  53  Sunday.

    Answer:

    A leap yeas has 52 weabs and 2 days other . possibilities of remaining 2 day

    are : (Sum , Mon ) , ( Mon, Tue) , ( Tue ,Wed) ,(Wed,Th),(Th,fri) , (Fri, Sat), (Sat, Sun).

    ∴favourable cases= Sun , Mon&(Sat ,  Sun )

  13. (d) What is Unbalancesd Assignment Problom ?

    Answer:

    Unbalanced Assignment problom : If number of jobs is not equal to the number of operators  than The assignment problom is known as UNBALANCED Assignment problom . In other words , in a pay off . assignmentproblom if no of roves  no of columns; than it is unbalanced problom.

  14. (e) Express in the form of.

    Answer: