Download OU Pharm D Question Paper 1st Year 2019 13279 Remedial Mathematics

Download OU (Osmania University) Pharm D (Doctor of Pharmacy) 1st Year 2019 13279 Remedial Mathematics Previous Question Paper

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Code No. 13279
FACULTY
Pharm. D. (6 YDC) I-Year (Main & Backlog) Examination, July 2019
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 =
?
?
?
?
?
?
3
1
and B =[ ] 7 6 1 find AS
2. Find the value of
Tanx Secx
Secx Tanx
3. Find the value of ?a? if the distance between the points( ) 2 , a and 4) , 3 ( is 8 units.
4. Find the centre and the radius of the circle 0 3 12 8 2 2
2 2
= - - - + y x y x
5. Evaluate
?
dx Secx
6. Find the order and degree of the differential equation
3
2
2
2
7 1
?
?
?
?
?
?
?
?
= ?
?
?
?
?
?
+
dx
y d
dx
dy
7. Find ( ) x x x
x
+ +
?
2 3
2
2 3 lim
8. Solve ( )
2
y x
dx
dy
+ =
9. Find the Laplace transform of{ }
at
e
10.If 3 2
3
- + = y xy z , find
x
z
?
?
and
y
z
?
?
PART-B (5x10=50)
11. (a) If A =
?
?
?
?
?
?
-
-
2 4
5 3
show that I A A 14 5
2
= -
(b) Show that ( ) ( ) ( ) a c c b b a
c b a
c b a - - - =
2 2 2
1 1 1
10M
12. (a) 5 / 3 = ? Sin and ? is acute, find the value of value of
? ? ? ? sec . 4 3 2 Co Sec Sec Tan + +
(b) Eliminate ? from ? ? sin , cos a y a x = = show that
2 2 2
a y x = + 10M
13. (a) Find the equation of the circle passing through the points (1,1) (-2,2) (-6,0)
(b) Find the equation of the parabola whose Focus is (-1,1) and directix is
0 1= + +y x 10M
Contd..2

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Code No. 13279
FACULTY
Pharm. D. (6 YDC) I-Year (Main & Backlog) Examination, July 2019
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 =
?
?
?
?
?
?
3
1
and B =[ ] 7 6 1 find AS
2. Find the value of
Tanx Secx
Secx Tanx
3. Find the value of ?a? if the distance between the points( ) 2 , a and 4) , 3 ( is 8 units.
4. Find the centre and the radius of the circle 0 3 12 8 2 2
2 2
= - - - + y x y x
5. Evaluate
?
dx Secx
6. Find the order and degree of the differential equation
3
2
2
2
7 1
?
?
?
?
?
?
?
?
= ?
?
?
?
?
?
+
dx
y d
dx
dy
7. Find ( ) x x x
x
+ +
?
2 3
2
2 3 lim
8. Solve ( )
2
y x
dx
dy
+ =
9. Find the Laplace transform of{ }
at
e
10.If 3 2
3
- + = y xy z , find
x
z
?
?
and
y
z
?
?
PART-B (5x10=50)
11. (a) If A =
?
?
?
?
?
?
-
-
2 4
5 3
show that I A A 14 5
2
= -
(b) Show that ( ) ( ) ( ) a c c b b a
c b a
c b a - - - =
2 2 2
1 1 1
10M
12. (a) 5 / 3 = ? Sin and ? is acute, find the value of value of
? ? ? ? sec . 4 3 2 Co Sec Sec Tan + +
(b) Eliminate ? from ? ? sin , cos a y a x = = show that
2 2 2
a y x = + 10M
13. (a) Find the equation of the circle passing through the points (1,1) (-2,2) (-6,0)
(b) Find the equation of the parabola whose Focus is (-1,1) and directix is
0 1= + +y x 10M
Contd..2
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Code No. 13279
-2-
14.(a) If
y x
y x
u
-
+
=
3 3
then u Sin
y
u
y
x
u
x 2 =
?
?
+
?
?
(b) Find
dx
dy
if
5 3
5 3
2
2
+ +
+ -
=
x x
x x
y 10M
15. (a) Evaluate dx
x
?
+ cot 1
1
(b) Evaluate dx e x
x 2 3
?
10M
16. (a) Solve
y -
e 2 1 ) 1 ( = + +
dx
dy
x
(b)
2 2 2
y xy x
dx
dy
x + + = 10M
17. (a)Find the Laplace transforms of ( ) t t e
t
5 sin 3 5 cos 2
3
-
-
(b) Find the Laplace transforms of
t t
e e
2 4
3
- -
+ 10M
18. (a) Find the equation of the circle whose centre is (-3, 1) and passing through the
centre of the circle 0 4 4 2
2 2
= + - + + y x y x
(b) Show that
( )
4
1
4
2
lim
2
2
=
-
-
?
x
x Tan
x
10M
************

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