## Sunday, February 14, 2016

• Sunday, February 14, 2016
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Roll No……..
Total No. of Questions: 07
BBA (Sem.-1st)
SUBJECT CODE: BB-102
PAPER ID: [C0202]

Time: 3 Hrs.                                                                           Max. Marks: 60

Instruction to Candidates:

1.       Section-A is Compulsory.
2.       Attempt any Four questions from Section-B.

SECTION-A

Q1.
(a)     Write the set X= in the set builder form.
(b)     Find roots of the quadratic equation 6x2-x-2=0.
(c)      Evaluate 5P3.
(d)     If nPr=720 and nCr= 120, find r.
(e)      Find General Term in the expansion of (x2-y)6.
(f)      Insert three arithmetic means between 3 and 19.
(g)     Find the sum of 7 terms of G.P. 3,6,12,…………
(h)     If s = {1,2,3} and f = {(1,3,), (3,2), (2,1)}. Determine whether the function  f : s s have inverse.  Find f-1, if it exists.
(i)      Find (1+ log x).
(j)      Find the value of x for which SECTION-B
Q2.    Solve x2- x- Q3.    How many words can be formed from the letter of the word ‘DAUGHTER’ so that
(a)     The vowels always come together.
(b)     The vowels never come together.

Q4.    Expand (2x-3y)4 by Binomial Theorem.

Q5.    (a)     Differentiate y=x3log x.
(b)     Differentiate y=3e2x+2e3r.

Q6.    If f(x) = Show that Q7.    Solve the following system of equations by matrix method.
3x - 2y +3z=8
2x+y-z=1
4x-3y+2z=4