Roll
No :______________
BS103
May, 2014
BS103 : BASIC
MATHEMATICSI
Time : 3 hours Maximum
Marks : 60
Note :
Section A is compulsory of 20 marks. In Section B Attempt any four
questions and of given six. Each carries 10 marks.
SECTIONA
Q.1. (a)
Write the set for set A={a,b,c}
(b) If R is relation from A to B Where
A= {1,2,3,4}
B = { 6, 7, 8 } R is
relation x R
y if X
divides y.
(c) Deine symmetric matrix with an
example.
(d) Write all the cofacters for matrix
A=
(e) Write for calculating mode in continuous series.
(f) Find te mean of irst10 natural
numbers.
(g) Deine union and Intersection of sets.
(h) Find the determenant of A =
(i) Write the sum of 1 + 3 + 5 + 7 +___________+( 2n  1)
(j) Write partition for set A = {a, b, c}
SECTIONB
Q.2. (a)
Evaluate
(b) if
A = B =
and
( A + B )2 = A2
+ B2 ind
a and b
Q.3. (a) If
A + B + C + D = Ï€
Proved that
cosA
cosB + cosC. cosD = sinA
sinB + sinC sinD
(b) If A + B = 45°
show that
(1 +
tanA) (1 + tanB) = 2
Q.4. (a) Find the sum of series
72 + 70 + 68 + __________+ 40.
(b) If
x = 1 + a + a2 +______ ∞, y =
1 + b +b2 +_______ ∞ Proved that.
1
+ ab + a2 b2 + __________ ∞ =
where
 a  and  b 
are less than 1
Q.5. Find the mean, median, mode for following :
value :

15

20

25

30

35

40

45

50

55

frequency
:

2

22

19

14

3

4

6

1

1

Q.6. (a) List the sets A, B, C given that
AUB
= {p,2 r, s }
AUC
= {q, r, s, t }
A UB
= { q, r }
A UB
= { q, s }
(b)
In a class
of 25 students
, 12 students
have taken. Economics,
& have taken economics but not politics. Find the number
of students who have taken economics and politics and those who have
taken politics but not economics.
Q.7.
(a)
If
A=
Show that A^{2 }=0
(b) If
A=B=
Show that AB=0
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