DAE MATH-113

Applied Mathematics-I

Chapter 4 : Partial Fractions

DAE Common Technologies | First Year

Multiple Choice Questions

Chapter:04 (Partial Fractions)

Question 1:

If the degree of numerator N(x) is equal or greater than the degree of denominator D(x), then the fraction is:

proper improper Neither proper non-improper Both proper and improper

Question 2:

If the degree of numerator is less than the degree of denominator, then the fraction is:

Proper Improper Neither proper non-improper Both proper and improper

Question 3:

The fraction \(\frac{2x+5}{{x^2}+5x+6}\) is known as:

Proper Improper Both proper and improper None of these

Question 4:

The number of partial fractions of \(\frac{6x+27}{4{x^3}-9x}\) are:

2 3 4 None of these

Question 5:

The number of partial fractions of \(\frac{{x^3}-3{x^2}+1}{(x-1)(x+1)({x^2}-1)}\) are:

2 3 4 5

Question 6:

The equivalent partial fraction of \(\frac{x+11}{{(x+1)}{(x-3)^2}}\) is:

\({\frac{A}{x+1}}+{\frac{B}{(x-3)^2}}\) \({\frac{A}{x+1}}+{\frac{B}{(x-3)}}\) \({\frac{A}{x+1}}+{\frac{B}{(x-3)}}+{\frac{C}{(x-3)^2}}\) \({\frac{A}{x+1}}+{\frac{Bx+C}{(x-3)^2}}\)

Question 7:

The equivalent partial fraction of \(\frac{x^4}{({x^2}+1)({x^2}+3)}\) is:

\({\frac{Ax+B}{{x^2}+1}}+{\frac{Cx+D}{{x^2}+3}}\) \({\frac{Ax+B}{{x^2}+1}}+{\frac{Cx}{{x^2}+3}}\) \(1+{\frac{Ax+B}{{x^2}+1}}+{\frac{Cx+D}{{x^2}+3}}\) \({\frac{Ax}{{x^2}+1}}+{\frac{Bx}{{x^2}+3}}\)

Question 8:

Partial fraction of \(\frac{2}{x(x+1)}\) is:

\({\frac{2}{x}}-{\frac{1}{x+1}}\) \({\frac{1}{x}}-{\frac{2}{x+1}}\) \({\frac{2}{x}}-{\frac{2}{x+1}}\) \({\frac{2}{x}}+{\frac{2}{x+1}}\)

Question 9:

Partial fraction of \(\frac{2x+3}{(x-2)(x+5)}\) is called:

\({\frac{2}{x-2}}+{\frac{1}{x+5}}\) \({\frac{3}{x-2}}+{\frac{1}{x+5}}\) \({\frac{2}{x-2}}+{\frac{3}{x+5}}\) \({\frac{1}{x-2}}+{\frac{1}{x+5}}\)

Question 10:

The fraction \(\frac{(x-1)(x-2)(x-3)}{(x-4)(x-5)(x-6)}\) is called:

Proper Improper Both proper and Improper None of these

NOTE
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INSTRUCTOR
MUHAMMAD BIN JAMEEL
BSC ENGG. CIVIL

PBTE | DAE | MATH-113 APPLIED MATHEMATICS-I | MCQs | Chapter : 04 Partial Fractions