Download OU Pharm D Question Paper 1st Year 2020 6179 Remedial Mathematics

Download OU (Osmania University) Pharm D (Doctor of Pharmacy) 1st Year 2020 6179 Remedial Mathematics Previous Question Paper

OU - 1704 OU - 1704
Code No. 6179
FACULTY
Pharm. D. (6 YDC) I-Year (Instant) Examination, February 2020

Subject: Remedial Mathematics
Time: 3 Hours Max. Marks: 70

Note:Answer all questions from Part A, Answer any five questions from Part B.

PART-A (10x2 = 20 Marks)

1. If A =
?
?
?
?
?
? ?
2 1 3
2 1 3
and B =
?
?
?
?
?
?
? 1 3 1
6 4 1
find 2A - 3B.
2. If x find
x
x
, 0
12
12
? .
3. Find the distance between the points ? ? 2 - , 0 and 0) , 1 ( ? .
4. Find the centre and the radius of the circle 0 5 4
2 2
? ? ? ? ? y x y x .
5. Evaluate
?
dx x Tan .
6. Find the order and degree of the differential equation
2
2
2
2
1 ?
?
?
?
?
?
? ?
dx
dy
dx
y d
a .
7. Find ? ? x x x
x
3 4 7 lim
2 3
3
? ?
?
.
8. Solve ? ? y x Sec
dx
dy
? ? .
9. Find the Laplace transform of ? ? at cos .
10. If 4
3
? ? ? y xy u , find
x
u
?
?
and
y
u
?
?
.

PART-B (5x10=50)
11. (a) If A =
?
?
?
?
?
?
?
?
?
?
1 2 1
2 1 2
2 2 1
show that 0 5 4
2
? ? ? I A A .

(b) Show that ? ? ? ? ? ? ) (
1 1 1
3 3 3
c b a a c c b b a
c b a
c b a ? ? ? ? ? ? 10M

12. (a) If 5 / 4 ? SinA and 13 / 5 ? SinB then find the value of ) ( ), ( B A Cos B A Sin ? ?
(b) Eliminate ? from ? ? Tan b y Sec a x ? ? , , Prove that 1
2
2
2
2
? ?
b
y
a
x
10M
13. (a) Find the equation of the circle passing through the points (0,2) (3,0) (3,2)
(b) Find the equation of the parabola whose Focus is (-1, 1) and directix is
0 7 ? ? ? y x 10M
Contd..2

G.

FirstRanker.com - FirstRanker's Choice
OU - 1704 OU - 1704
Code No. 6179
FACULTY
Pharm. D. (6 YDC) I-Year (Instant) Examination, February 2020

Subject: Remedial Mathematics
Time: 3 Hours Max. Marks: 70

Note:Answer all questions from Part A, Answer any five questions from Part B.

PART-A (10x2 = 20 Marks)

1. If A =
?
?
?
?
?
? ?
2 1 3
2 1 3
and B =
?
?
?
?
?
?
? 1 3 1
6 4 1
find 2A - 3B.
2. If x find
x
x
, 0
12
12
? .
3. Find the distance between the points ? ? 2 - , 0 and 0) , 1 ( ? .
4. Find the centre and the radius of the circle 0 5 4
2 2
? ? ? ? ? y x y x .
5. Evaluate
?
dx x Tan .
6. Find the order and degree of the differential equation
2
2
2
2
1 ?
?
?
?
?
?
? ?
dx
dy
dx
y d
a .
7. Find ? ? x x x
x
3 4 7 lim
2 3
3
? ?
?
.
8. Solve ? ? y x Sec
dx
dy
? ? .
9. Find the Laplace transform of ? ? at cos .
10. If 4
3
? ? ? y xy u , find
x
u
?
?
and
y
u
?
?
.

PART-B (5x10=50)
11. (a) If A =
?
?
?
?
?
?
?
?
?
?
1 2 1
2 1 2
2 2 1
show that 0 5 4
2
? ? ? I A A .

(b) Show that ? ? ? ? ? ? ) (
1 1 1
3 3 3
c b a a c c b b a
c b a
c b a ? ? ? ? ? ? 10M

12. (a) If 5 / 4 ? SinA and 13 / 5 ? SinB then find the value of ) ( ), ( B A Cos B A Sin ? ?
(b) Eliminate ? from ? ? Tan b y Sec a x ? ? , , Prove that 1
2
2
2
2
? ?
b
y
a
x
10M
13. (a) Find the equation of the circle passing through the points (0,2) (3,0) (3,2)
(b) Find the equation of the parabola whose Focus is (-1, 1) and directix is
0 7 ? ? ? y x 10M
Contd..2

G.

OU - 1704 OU - 1704

Code No. 6179
-2-

14. (a) If
?
?
?
?
?
?
?
?
?
?
?
?
y x
y x
Sin u
2
2
1
, then u T
y
u
y
x
u
x an ?
?
?
?
?
?
.

(b) Find
dx
dy
if
x
x
y
log 1
log
?
? . 10M
15. (a) Evaluate dx
x
?
?
4
0
2
16
1
.

(b) Evaluate dx x Sin x 3
2
?
. 10M

16. (a) Solve dx y ydy e
x x
e ) 1 ( ) 1 ( ? ? ? .

(b) Solve
xy
y x
dx
dy
2 2
?
? . 10M

17. (a) Find the Laplace transforms of ? ? 4 3 2
2 2
? ? t t e
t
.
(b) Find the Laplace transforms of t Sin t 2 . 3 cos . 10M

18. (a) Find the equation of the circle whose centre is (-2, 3) and passing through the
centre of the circle 0 9 4 6
2 2
? ? ? ? ? y x y x .
(b) Show that
? ?
4
1

4
2
lim
2
2
?
?
?
?
x
x Tan
x
. 10M

************

G.

FirstRanker.com - FirstRanker's Choice