Download OU B.Pharma 1st Year 2020 January 13242 NON CBCS Mathematics Question Paper

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Code No. 13242 / Non-CBCS

FACULTY OF PHARMACY

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B. Pharmacy I-Year (Non-CBCS)(Backlog) Examination, August 2019

Subject : Mathematics

Time: 3 hrs Max. Marks : 70

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

1. a)
   1. Find the solution of the equation 10^x+3 = 6^2x.

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   2. If tan 35° = K then the value of (tan145° - tan125°) / (1+tan145°tan125°).
   OR b)
   1. log 2^x + log 2^(x-2) = 3.
   2. if tan a = 1/3 and tan ß = 1/7 then show that tan (2a+ß) = 1.
2. a)
   1. Find the derivative of tan x using first principle.

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   2. Show that the function is not differentiable at 2 where f(x) = { x; 0 = x = 2 { 2; x = 2
   OR b)
   1. Find the maximum and minimum values of the polynomial f(x) = x³ – 4x² + 8x – 6
   2. If u = xy f(x/y) prove that x ?u/?x + y ?u/?y = 2u.
3. a)
   1. Evaluate ? 1/(3-5sinx) dx

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   OR b)
   1. Evaluate ? 1/(4+5sinx) dx
   2. Evaluate ? (2x-6)/(x²-3x-6) dx
4. a)
   1. If A = | a² ab ac | | ab b² bc | and a² + b² + c² = 1 then find A². | ac bc c² |
   2. Solve the equation 7x + 5y – 13z + 4 = 0, 9x + 2y + 11z – 37 = 0, 3x - y + z = 2 by matrix inversion method.

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   OR

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5. b)
   1. Find the rank of the matrix A = | 1 -1 2 3 | | 2 2 3 4 | | 3 4 5 6 |
   2. If A = | 0 2 1 | | -2 0 -2 | is a skew symmetric matrix, then find the value of x. | -1 x 0 |

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6. a)
   1. Find the equation of circle passing through the points (1, 0) (0, 1) (1, 1).
   2. Find the equation of the line having intercepts a and b on the axes such that a + b = 3 and ab = 1.
   OR b)
   1. Write the basic mathematical principles are used in Biological testing.
   2. Find the equation of circle passing through ( -7, 1) and having centre at (-4, -3).

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