Download OU Pharm D Question Paper 1st Year 2017 4255 Remedial Mathematics

Download OU (Osmania University) Pharm D (Doctor of Pharmacy) 1st Year 2017 4255 Remedial Mathematics Previous Question Paper

OU - 1701 OU - 1701
Code No. 4255
FACULTY OF PHARMACY
Pharm. D (6 YDC) I-Year (Main) Examination, July 2017
Subject : Remedial Mathematics
Time : 3 Hours Max. Marks: 70
Note: Answer all questions from Part - A and answer any five questions from Part-B.
PART ? A (10 x 2 = 20 Marks)
1 If
?
?
?
?
?
?
-
=
1 0
2 1
A and
?
?
?
?
?
? -
=
3 2
1 0
B then find AB
1
.
2 Find the slope of the line joining points (2, 5) and (- 4, 6).
3 If
13
12
cos = A then find cot A.
4 If y = (3x
2
+ 2x + 1)
1/3
find
dx
dy
.
5 Find
?
2
0
2
cos
? xdx .
6 Find order and degree of the differential equation
. 0
3
2
2
2
3
= + ?
?
?
?
?
?
+ + y
dx
dy
dx
y d
dx
y d
7 Find the Lapalce transform of cos
2
t.
8 Find the center and radius of the circle x
2
+ y
2
+ 2x - 4y + 5 = 0.
9 Find
7
98 2
2
7
+
-
- ?
x
x
Lim
x
.
10 If u = 3xy ? y
3
+ (y
2
? 2x)
3/2
then find
2
2
x
u
?
?
.
PART ? B (5 x 10 = 50 Marks)
11 (a) Show that
ab c c
ca b b
bc a a
-
-
-
2
2
2
1
1
1
= 0.
(b) If
?
?
?
?
?
?
-
=
5 1 6
1 3 2
A and
?
?
?
?
?
?
-
-
=
3 1 0
1 2 1
B
Then find C such that A + B ? C = 0.
12 (a) sin A = 8/17 then find cos (A + B).
(b) Simplify
A
A
2
2
cot 1
tan 1
+
+
13 (a) Find the equation of the circle passing through (1, 1), (2, 1) and (3, 2).
(b) Find the value of k if the line 2y = 5x + k is a tangent the parabola y
2
= 6x.
..2
FirstRanker.com - FirstRanker's Choice
OU - 1701 OU - 1701
Code No. 4255
FACULTY OF PHARMACY
Pharm. D (6 YDC) I-Year (Main) Examination, July 2017
Subject : Remedial Mathematics
Time : 3 Hours Max. Marks: 70
Note: Answer all questions from Part - A and answer any five questions from Part-B.
PART ? A (10 x 2 = 20 Marks)
1 If
?
?
?
?
?
?
-
=
1 0
2 1
A and
?
?
?
?
?
? -
=
3 2
1 0
B then find AB
1
.
2 Find the slope of the line joining points (2, 5) and (- 4, 6).
3 If
13
12
cos = A then find cot A.
4 If y = (3x
2
+ 2x + 1)
1/3
find
dx
dy
.
5 Find
?
2
0
2
cos
? xdx .
6 Find order and degree of the differential equation
. 0
3
2
2
2
3
= + ?
?
?
?
?
?
+ + y
dx
dy
dx
y d
dx
y d
7 Find the Lapalce transform of cos
2
t.
8 Find the center and radius of the circle x
2
+ y
2
+ 2x - 4y + 5 = 0.
9 Find
7
98 2
2
7
+
-
- ?
x
x
Lim
x
.
10 If u = 3xy ? y
3
+ (y
2
? 2x)
3/2
then find
2
2
x
u
?
?
.
PART ? B (5 x 10 = 50 Marks)
11 (a) Show that
ab c c
ca b b
bc a a
-
-
-
2
2
2
1
1
1
= 0.
(b) If
?
?
?
?
?
?
-
=
5 1 6
1 3 2
A and
?
?
?
?
?
?
-
-
=
3 1 0
1 2 1
B
Then find C such that A + B ? C = 0.
12 (a) sin A = 8/17 then find cos (A + B).
(b) Simplify
A
A
2
2
cot 1
tan 1
+
+
13 (a) Find the equation of the circle passing through (1, 1), (2, 1) and (3, 2).
(b) Find the value of k if the line 2y = 5x + k is a tangent the parabola y
2
= 6x.
..2
OU - 1701 OU - 1701
Code No. 4255
..2..
14 (a) 3 ) 5 3 2 (
2
2
= + +
?
a x Lim
x
then find ?a?.
(b) If z = log (tan x + tany) then show that
2 2 sin 2 sin =
?
?
+
?
?
y
z
x
x
z
x
15 (a) Evaluate
?
dx
x
x
) log(sin
cot
.
(b) Evaluate dx
x
x
?
+
4
0
2
1
.
16 (a) Solve (x
2
+ y
3
)dx = 2xydy
(b) Solve
3
) 1 (
1
2
x
x
y
dx
dy
+ =
+
- .
17 (a) Find the Laplace transform of e
t
sin
2
t .
(b) Find the Laplace transform of
t
6
+ e
-t
sint + e
t
cost
18 (a) If
y
x
e
x
y
u + ?
?
?
?
?
?
=
- 1
tan then find
y
u
y
x
u
x
?
?
+
?
?
.
(b) Solve
2
2
x
y
dx
dy
= .
*****
FirstRanker.com - FirstRanker's Choice