Download OU B.Pharma 1st Year 2014 7204 Mathematics Question Paper

Download OU (Osmania University) B.Pharma 1st Year (Bachelor of Pharmacy) 2014 7204 Mathematics Previous Question Paper

PHARMACY,HYD
Code No. 7204 / M
FACULTY OF PHARMACY
B. Pharmacy I - Year (Main) Examination, June 2014
Subject : Mathematics
Time : 3 hours Max. Marks : 70
Note : Answer all questions. All questions carry equal marks.
1 a) i) Prove that
7
5
log
3
7
log 2
7
5
log 3
5
3
log 2 = + + . 7
ii) If( ) 10000 ) 034 . 0 ( 4 . 3 = =
y x
find the value of
y x
1 1
- . 7
OR
b) i) If tan
2
1
= A and tan
3
1
= B what is the value of A + B? 7
ii) If
P
c b a
3
2 log
6
2 log
4
2 log
= = and a
3
b
2
c = 1 find the value of P. 7
2 a) i) Find the derivative of secx using first principle. 7
ii) Find the derivative of
b ax
e
+
. 7
OR
b) i) If y = ae
x
+ be
-x
find
dx
dy
and
2
2
dx
y d
. 7
ii) Find the derivative of x
1
sin
-
. 7
3 a) i) Evaluate
( )
dx
x
x
?
+
3
log 1
7
ii)
( )
?
+ + 2 3 2
1
x x
7
OR
b) i) Evaluate
?
+
dx
x cos 4 5
1
7
ii) Evaluate dx
x x
x
1
1 2
2 ?
+ +
+
7
4 a) i)
?
?
?
?
?
?
-
=
5 3
0 2
A show that A
2
+ 3A  10I = 0 7
ii) Show that ) )( )( (
1
1
1
2
2
2
a c c b b a
c c
b b
a a
- - - = 7
OR
&..2
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PHARMACY,HYD
Code No. 7204 / M
FACULTY OF PHARMACY
B. Pharmacy I - Year (Main) Examination, June 2014
Subject : Mathematics
Time : 3 hours Max. Marks : 70
Note : Answer all questions. All questions carry equal marks.
1 a) i) Prove that
7
5
log
3
7
log 2
7
5
log 3
5
3
log 2 = + + . 7
ii) If( ) 10000 ) 034 . 0 ( 4 . 3 = =
y x
find the value of
y x
1 1
- . 7
OR
b) i) If tan
2
1
= A and tan
3
1
= B what is the value of A + B? 7
ii) If
P
c b a
3
2 log
6
2 log
4
2 log
= = and a
3
b
2
c = 1 find the value of P. 7
2 a) i) Find the derivative of secx using first principle. 7
ii) Find the derivative of
b ax
e
+
. 7
OR
b) i) If y = ae
x
+ be
-x
find
dx
dy
and
2
2
dx
y d
. 7
ii) Find the derivative of x
1
sin
-
. 7
3 a) i) Evaluate
( )
dx
x
x
?
+
3
log 1
7
ii)
( )
?
+ + 2 3 2
1
x x
7
OR
b) i) Evaluate
?
+
dx
x cos 4 5
1
7
ii) Evaluate dx
x x
x
1
1 2
2 ?
+ +
+
7
4 a) i)
?
?
?
?
?
?
-
=
5 3
0 2
A show that A
2
+ 3A  10I = 0 7
ii) Show that ) )( )( (
1
1
1
2
2
2
a c c b b a
c c
b b
a a
- - - = 7
OR
&..2
PHARMACY,HYD
Code No. 7204 / M
- 2 -
b) i) Solve using Gauss-Jordan method x + y + z = 9, 2x + 5y + 7z = 52 and
2x + y  z = 0. 7
ii) Find the rank of the matrix
?
?
?
?
?
?
-
-
3 1 2
4 0 1
. 7
5 a) i) Find the equation of the circle which passes through (6, 5), (4, 1) and whose
centre lies on the line 4x + 3y  24 = 0. 7
ii) Find the equation of the line passing through (1, -6) and having intercepts
whose product is 1. 7
OR
b) i) Show that the following points lie on a line and find its equation
(5, 5), (-5, 1), (10, 7). 7
ii) Find the circle which posses through (1, 2), (3, -4) and (5, -6). 7
******
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