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

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FACULTY OF PHARMACY

Code No: 6142/NON-CBCS

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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. If X= 1+log_ab, y = 1+ log_bc and Z = 1+log_ca prove that xyz = xy + yz + zx ?

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   If A+B+C = 180, Prove that Sin 2A+ Sin2B + Sin 2C =4 Sin A Sin B Sin C ?

   OR

   If tan A= 16/25 and tan B = 81/9 What is the Value of A+B ?

2. Prove that 7 log (9/8) + 5log (15/24) + 3 log (80/81) = log 2 ?

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3. Find the derivative of Sin x using first principle ?

4. Prove that lim _x->3 (x² -3x—9) / (x² -8x+45) = 7/7

   OR

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   Show that lim _x->4 (vx-2) / (X—4) = 1/4 ?

5. Find the derivative of y = x^u + (log x) sin x ?

6. Evaluate ? (1 / (4 +5sinx)) dx

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   OR

   Evaluate ? (x² +6) / (X² +3x-6) dx

7. Show that | 1 a a² | | 1 b b² | = (a-b)(b-c)(c-a) | 1 c c² |

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8. Solve the equations 3x +4y + 5z=18, 2x-y-8z=13 and 5x - 2y + 7z =20 by matrix inversion method

   OR

   1. Find the equations of the Circle passing through the points (1, 2), (3,-4), and (5,-6) ?
   2. Find the equation of the line having intercepts a and b on the axes such that a+b=3 and ab=1 ?

   OR

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   Show that the points are co cyclic (1,-6), (5,2) (7,0) and (-1, 4)

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