Download OU B.Pharma 1st Year 2015 6035 Mathematics Question Paper

Download OU (Osmania University) B.Pharma 1st Year (Bachelor of Pharmacy) 2015 6035 Mathematics Previous Question Paper

Pharmacy
Hyderabad
OU - 1701 OU - 1701
Code No. 6035 / S
FACULTY OF PHARMACY
B. Pharmacy I ? Year (Supplementary) Examination, November 2015
Subject: Mathematics
Time: 3 Hours Max.Marks: 70
Note: Answer All questions. All questions carry equal marks.
1 a) If log x = log 3 + 2 log 4 -
4
3
log 16, then find the value of x.
b) If cos ? =
13
5
; 0 < ? <
2
? , then find the value of
? cos - ? cosec
? cot 5 ? cos +
.
OR
c) If 0 ? ? ?
2
? be such that tan ? =
12
5
then find
? tan ? sec - ? cosec
? cot - ? cos ? sin
+
+
.
d) If a =
12
24
log , b =
24
36
log and c =
36
48
log , then show that abc = -1.
2 a) Find
5 5
a x
a x
a) (x sin
lt
-
-
?
.
b) If u = x
2
y
3
, x = log t, y = e
t
then find
dt
du
in terms of t.
OR
c) If u = sin
-1 ,
y x
y x
?
?
?
?
?
?
?
?
+
+
then prove that x
dx
du
+ y
dy
du
=
2
1
tan u.
d) Find
2
0 ?
?
? cos 1
lt
-
?
.
3 a) Find
?
+
dx
3sinx 2
1
.
b) Evaluate dx x sin x cos
3
?
.
OR
c) Evaluate dx.
x cos 1
x tan
2 ?
+
d) Show that the area of a loop of the curve x
4
= a
2
(x
2
? y
2
) is .
3
2a
2
?2.
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Pharmacy
Hyderabad
OU - 1701 OU - 1701
Code No. 6035 / S
FACULTY OF PHARMACY
B. Pharmacy I ? Year (Supplementary) Examination, November 2015
Subject: Mathematics
Time: 3 Hours Max.Marks: 70
Note: Answer All questions. All questions carry equal marks.
1 a) If log x = log 3 + 2 log 4 -
4
3
log 16, then find the value of x.
b) If cos ? =
13
5
; 0 < ? <
2
? , then find the value of
? cos - ? cosec
? cot 5 ? cos +
.
OR
c) If 0 ? ? ?
2
? be such that tan ? =
12
5
then find
? tan ? sec - ? cosec
? cot - ? cos ? sin
+
+
.
d) If a =
12
24
log , b =
24
36
log and c =
36
48
log , then show that abc = -1.
2 a) Find
5 5
a x
a x
a) (x sin
lt
-
-
?
.
b) If u = x
2
y
3
, x = log t, y = e
t
then find
dt
du
in terms of t.
OR
c) If u = sin
-1 ,
y x
y x
?
?
?
?
?
?
?
?
+
+
then prove that x
dx
du
+ y
dy
du
=
2
1
tan u.
d) Find
2
0 ?
?
? cos 1
lt
-
?
.
3 a) Find
?
+
dx
3sinx 2
1
.
b) Evaluate dx x sin x cos
3
?
.
OR
c) Evaluate dx.
x cos 1
x tan
2 ?
+
d) Show that the area of a loop of the curve x
4
= a
2
(x
2
? y
2
) is .
3
2a
2
?2.
Pharmacy
Hyderabad
OU - 1701 OU - 1701
Code No. 6035 / S
-2-
4 a) Find the values of the determinant
2b a c a c
b 2a c b c
b a 2c b 1
+ +
+ +
+ +
.
b) Solve the system of equation?s x+y+z = 1, x+2y+2z = 3, x+2y+3z = 4 by matrix
inversion method.
OR
c) Find the value of x if
x 4 5 3
5 x 4 3
3 3 x 2
-
-
-
= 0.
d) Define symmetric and show symmetric matrix.
If A =
?
?
?
?
?
?
?
?
?
?
-
-
-
2 1 3
1 3 2
3 2 1
and B =
?
?
?
?
?
?
?
?
?
?
0 2 1
2 1 0
2 0 1
find BA.
5 a) Write about linear and non-linear graphs.
OR
b) Find the equation of a circle passing through the points (2,3), (0,4) and (5,6).
****
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