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Applied Mathematics-I Exam Prep

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Applied Mathematics-I Exam Prep

This section covers key concepts in applied mathematics including equations, series, geometry, and vector analysis. Students should focus on solving quadratic equations, understanding arithmetic progressions, and applyin...

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6 marks Long answer

Prove that |a²/bc a/c a/b| = 0 |b²/ac b/a b/c| |c²/ab c/b c/a|.

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Use properties of determinants to prove.

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6 marks Long answer

a) Prove that the roots of the equation are rational: x² - 2(m + 1/m) x + 3 = 0.

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Show discriminant is a perfect square.

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6 marks Long answer

b) Evaluate 'K' if one roots of 9x² - 15x + k = 0, exceeds the other by 3 also find the roots.

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K = 12; Roots are 3 and 1.

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6 marks Long answer

a) Find 'x' and y if: [x+3 1; -3 3y-4] = [2 1; -3 2].

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x = -1, y = 2.

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