Download OU B.Pharma 1st Year 2020 January 6142NON CBCS Mathematics Question Paper

Download OU (Osmania University) B.Pharma 1st Year (Bachelor of Pharmacy) 2020 January 6142NON CBCS Mathematics Previous Question Paper

- -
Code No: 6142/NON-CBCS
FACULTY OF PHARMACY
B. Pharmacy I-Year (Non-CBCS) (Backlog) Examination, January 2020
Subject : Mathematics
Time: 3 Hrs Max Marks: 70
Note: Answer all questions. All questions carry equal marks
1. a) If X= 1+log a
bc
, y = 1+ log b
ca
and Z = 1+log c
ab
prove that xyz = xy + yz + zx 7
b) If A+B+C = 180, Prove that Sin 2A+ Sin2B + Sin 2C = 4 Sin A Sin B Sin C 7
OR
c) If tan A =
2
1
and tan B =
3
1
What is the Value of A+B 7
d) Prove that 7 log
15
16
+ 5 log
24
25
+ 3 log
80
81
= log 2 7
2. a) Find the derivative of Sin x using first principle 7
b) Prove that
3
7
9 3x
2
2x
45
2
8x
3
x
1t
3 x
- =
- -
+ -
?
7
OR
c) Show that
4
1
4 x
2 x
1t
4 x
=
-
-
?
7
d) Find the derivative of y = e
x
+ (log x) sin x 7
3. a) Evalvate
?
+
dx
x sin 5 4
1
14
OR
b) Evaluate dx
6 3x
2
x
6 2x
?
- +
+
14
4. a) Show that a) c)(c b)(b (a
2
c c 1
2
b b 1
2
a a 1
- - - = 14
b) Solve the equations 3x + 4y + 5z = 18 2x - y - 8z = 13 and 5x - 2y + 7z = 20 by
matrix inversion method 14
OR
5. a) i) Find the equations of the Circle passing thrgh the points (1, 2), (3,-4), and (5,-6) 7
ii) Find the equation of the line having intercepts a and b on the aves such that
a + b = 3 and ab = 1 7
OR
b) Show that the points are co cyclic (1,-6), (5,2) (7,0) and (-1, 4) 14
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