Download Pharm-D (Doctor of Pharmacy) 1st Year (First Year) 2010 Sept 383806 Remedical Mathematics Previous Question Paper
DOCTOR OF PHARMACY (PHARM. D) DEGREE EXAMINATION
(Regulations 2008 - 2009)
(Candidates admitted from 2008-2009 onwards)
FIRST YEAR
Paper VI ? REMEDICAL MATHEMATICS
Q.P. Code : 383806
Time : Three hours Maximum : 70 marks
Answer All questions
I. Essay Questions : (2X 20 = 40)
1. (a) For the Square Matrix A = 1 1 1
1 2 -3
2 -1 3
Prove that A (adj A) = lAl I.
(b) If A = 2 3 . Show that A
2
-FA-2I=0
4 5
2. (a) Find the equation of the circle passing through the points (1, 1), (2, -1)
& (3, 2).
(b) If x=acos ? +bsinv ? and y=asin ? -bcos ? . Prove that x
2
+y
2
= a
2
+b
2.
II. Write Short Notes : (6 X 5 = 30)
3 1 2
1. Find the ad joint of 2 2 5
4 1 0
2. Find the equation of the parabola whole focus if (1, 2) and directive is
x+y-2=0.
3. Integrate x
2
e
2
xdx.
4. Verify the Euler?s theorem.
if u=x
3
+y
3
+3x
2
y+3xy
2
.
5. Solve (D
2
-6D+a)y=e
3x
.
6. Find the area of the triangle whole vertices are (4, 7), (2,-3) and (-1, 3).
*****
September 2010
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