Kurukshetra University 2011 B.B.A BUSINESS MATHEMATICS,: -112,kurukushetra university - Question Paper

BBA/M-11 BUSINESS MATHEMATICS PAPER: BBA-112 TIME: 3 HRS] [MAX MARKS :90

1.    (a) The sum of three number in A.P is 9 and sum of their squares is 29. Find the numbers.

(b)    The distances between the points (6, 5) and (3, y) is 5 units. Find the values of y.

(c)    Find the ratio in which the line joining the points (1, 3) and (2, 7) is divided by the line 3x+y=9.

(d)    The sum of three numbers in G.P is 21 their product is 216. Find the numbers.

(e)    Find the value of the integral ^/2

'U    (sinx+cosx)

(f)Evaluate:

dx x² + 2x

2.    (a).Find the equation of a St. line which passes through the point (3,4) and have intercept on the axes such that their sum is 14.

(B) . Find the equations of lines which pass through (4,5) and makes an angle of 45 ⁰ with the line 2x+y+1=0.

3.    (a) Find the co-ordinates of the orthocenter of triangle whose angular points are (1,0),(2,4) and (-5,-2).

(b) Find the distance between the lines:

9x+40y-20=0 and 9x+40y+103=0.

4.    (a). The first term of an A.P is 2 and the sum of the first five terms is equal to one-fourth of the sum of the next five terms. Find the sum of the first thirty terms.

(b) Find the sum of the n terms of the series:

4+44+444+444+................

5.    (a) The sum of the n terms of two series in A.P in the ratio 3x+4:5x+6. Find the ratio of their 11^th term. (b) Find the sum of square of first n natural numbers.

6. (a).Evaluate:

,2

x

dx

X⁴ + X² + 1 (b) prove that:

n/2

/ lo g(s mx)dx = / 2 I9 2 o

7. (a) Evaluate:

f xe^x

I -d x

^J ( 1+x) ^A 2

(b). Prove that:

J lo g( 1 + tanx) dx = / 8 19 2 o

8.(a) If log2=0.3010 and log3=.4771, Find log(.405)^A1/3

(b) A sum of money invested at compound intresr amount to Rs. 1218.99 at end of 5 years and to Rs. 1267.37 at the end of 7 years. Find the principal and the rate of interest.

Attachment: kurukshetra-university-2011-b-b-a-47799-1.pdf

Earning:   Approval pending.