Instructions: All questions carry equal marks.
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- If loga 2 = (y-2), logb 2 = (2x), logc 2, then show that abc = 1.
- If tan 250° + tan 340° / tan 200° - tan 110° = 1-A2 / 1+A2.
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OR
- If ax = by = cz and y2 = xz then show that logy a = logc b.
- If tan 20° = A, show that find the value of cos 5° + cos 24° + cos 175° + cos 204° + cos 300
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- Find the derivative of the function f(x) = (x3 +1) / ((x2-1)(x3-1)).
- If f(x) = x sin(1/x) when x? 0 and f(0) = 0, show that f is continuous but not derivable for x=0.
OR
- Find the maximum and minimum values of the polynomial function f is given by f(x) = 8x3 — 15x2 + 10x2.
- If u = tan-1(y/x), then show that ?2u/?x2 + ?2u/?y2 = 0.
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- Evaluate ? x2 dx from 1 to 2.
- Evaluate ? x ex dx from 0 to 1.
OR
- Evaluate ? x/(1+x2) dx from 0 to 1.
- Evaluate ? x sin(x) dx from 0 to p/2.
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- Define symmetric and skew symmetric matrix.
- If A = | 1 2 3 | and B = | 1 0 2 |, find BA.
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Note: The following information is for reference only and may not be accurate or relevant to the exam.
- Derive the equation y = mx+c for a straight line and explain the importance of m and c and how to determine the value of m.
- Find Latus rectum, eccentricity from the equation x2+y2-4x+4 = 0.
OR
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- Find the centre and radius of the circle 3x2+3y2+6x-12y-1 = 0.
- Explain about linear and non-linear graphs and their importance in biological data representation and comparison.
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This download link is referred from the post: OU B.Pharm Question Papers Last 10 Years 2010-2020 || Osmania University
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