THE TAMIL NADU DR. M.G.R. MEDICAL UNIVERSITY
[LO 806] MAY 2019 Sub. Code: 3806
PHARM. D DEGREE EXAMINATION
(2009-2010 Regulation)
FIRST YEAR
PAPER VI REMEDIAL MATHEMATICS
Q.P. Code 383806
Time Three hours Maximum 70 Marks
I. Elaborate on: x 10 40)
1. Find A−1 if






−
−
1 1 0
1 1 1
1 1 1
A
2. If
13
cosα =12 and
7
cosβ 24 where α lies in the second quadrant and β lies in the
fourth quadrant. Find the values of: cos β sin β
tan β
3. Let at at P 2 2


−
t
a
t
Q a 2 2 and 0 a S be any three points, show that




SP SQ
1 1
is same all values of t.
4. Integrate x2 5x 6
dx .
II. Write notes on: x 5 30)
1. If



−

8
11
3
8
6
3
A


−

17
15
8
6
3
1
B then find 7A+5B.
2. Prove that tan 2 θ −sin 2 θ tan 2 θ sin 2 θ .
3. Prove that and are the vertices of a right angled isosceles
triangle.
4. Evaluate x3 e x dx .
5. Differentiate: 2x2 3x−3 5e x 3x − cot x 2 .
6. Solve the differential equation e x− ydx e y−xdy 0 .