Download OU B.Pharma 1st Year 2014 7204 Mathematics Question Paper

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Code No. 7204/ M

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FACULTY OF PHARMACY

B. Pharmacy I - Year (Main) Examination, June 2014

Subject : Mathematics

Time : 3 hours Max. Marks : 70

Note : Answer all questions. All questions carry equal marks.

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1. a) Prove that 2log(3/5)+3log(5/7)+2log(7/3)=1log(3/7).
   b) If (3.4)^x = (0.034)^y =10000 find the value of 1/x + 1/y
   OR
   If tan A = x and tan B = y what is the value of A + B?
2. a) If log₂(x/4) = log₂(y/6) = log₂(z/3P) and x²y²z =1 find the value of P.
   

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   b) Find the derivative of secx using first principle.
3. a) Find the derivative of sin^-1vx .
   b) If y=ae^5x+be^-5x find d²y/dx² and dy/dx
   OR
   Evaluate ? (1+logx)³ / x dx

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4. a) Evaluate ? (2x+3)v(x+2) dx
   b) Evaluate ? (2x+1) / (x²+4cosx) dx
   OR
   Evaluate ? (2x-1) / (x²+x+1) dx
5. a) A= 2 & 0 & 2 \\ 3 & 5 & 7 \end{bmatrix} show that A²+ 3A-10I=0
   

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   b) Show that 1 & a & a² \\ 1 & b & b² \\ 1 & c & c² \end{vmatrix} =(a-b)(b-c)(c-a)
   OR
   Solve using Gauss-Jordan method x+y+z=9, 2x+5y+7z=52 and 2x+y-z=0.
6. a) A= 1 & 0 & -4 \\ 2 & 1 & 3 \end{bmatrix} Find the rank of the matrix.
   b) Find the equation of the circle which passes through (6, 5), (4, 1) and whose centre lies on the line 4x + 3y -24 =0.

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7. a) Find the equation of the line passing through (1, -6) and having intercepts whose product is 1.
   b) Show that the following points lie on a line and find its equation (5, 5), (-5, 1), (10, 7).
   OR
   Find the circle which posses through (1, 2), (3, -4) and (5, -6).

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