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 11th term. (b) Find the sum of square of first n natural numbers.
6. (a).Evaluate:
x
dx
X4 + X2 + 1 (b) prove that:
n/2
/ lo g(s mx)dx = / 2 I9 2 o
7. (a) Evaluate:
f xex
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.
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