Download Pharm D 1st Year 2010 Sept 383806 Remedical Mathematics Question Paper

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September 2010

[KX 806] Sub. Code: 3806

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DOCTOR OF PHARMACY (PHARM. D) DEGREE EXAMINATION

(Regulations 2008 - 2009)

(Candidates admitted from 2008-2009 onwards)

FIRST YEAR

Paper VI - REMEDIAL MATHEMATICS

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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) = |A| I
   

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   (b) If A =

   2	3
   4	5

   Show that A²-7A-2I=0
2. (a) Find the equation of the circle passing through the points (1, 1), (2, -1) & (3,2).
   (b) If x=acos?+bsin? and y=asin?-bcos?. Prove that x²+y² = a²+b²

II. Write Short Notes : (6X5=30)

1. Find the adjoint of

   2	1	2
   5	0	1
   0	1	2

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2. Find the equation of the parabola whose focus is (1, 2) and directive is x+y-2=0.
3. Integrate x²e^xdx.
4. Verify the Euler’s theorem if u=x³+y³+3x²y+3xy².
5. Solve (D²-6D+9)y=e^3x.
6. Find the area of the triangle whose vertices are (4, 7), (2,-3) and (-1, 3).

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