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First Year Math Partial Fractions


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Class 9Class 10First YearSecond Year
Q.1Arelationinwhichtheequalityistrueonlyforanumberofunknownsiscalledan(a)identity(b)equation(c)algebraicequation(d)algebraicrelationQ.1 A relation in which the equality is true only for a number of unknowns is called an(a) identity(b) equation(c) algebraic equation(d) algebraic relation

Resolve into partial fractions.4. \frac{x-5}{x^{2}+2 x-3}
Resolve into partial fractions.4.  \frac{x-5}{x^{2}+2 x-3}

Resolveintopartialfractions.4.x5x2+2x3Resolve into partial fractions.4. \frac{x-5}{x^{2}+2 x-3}

2. Write short answers of the following questions.(viii) Resolve \frac{x}{(x-3)^{2}} into partial fractions:
2. Write short answers of the following questions.(viii) Resolve  \frac{x}{(x-3)^{2}}  into partial fractions:

2.Writeshortanswersofthefollowingquestions.(viii)Resolvex(x3)2intopartialfractions:2. Write short answers of the following questions.(viii) Resolve \frac{x}{(x-3)^{2}} into partial fractions:

Q.21 The rational fraction \frac{P(x)}{Q(x)} is a proper fraction if(a) Degree of P(x)= degree of Q(x) (b) Degree of P(x)< degree of Q(x) (c) Degree of Q(x)< degree of P(x) (d) none of these
Q.21 The rational fraction  \frac{P(x)}{Q(x)}  is a proper fraction if(a) Degree of  P(x)=  degree of  Q(x) (b) Degree of  P(x)<  degree of  Q(x) (c) Degree of  Q(x)<  degree of  P(x) (d) none of these

Q.21TherationalfractionP(x)Q(x)isaproperfractionif(a)DegreeofP(x)=degreeofQ(x)(b)DegreeofP(x)<degreeofQ(x)(c)DegreeofQ(x)<degreeofP(x)(d)noneoftheseQ.21 The rational fraction \frac{P(x)}{Q(x)} is a proper fraction if(a) Degree of P(x)= degree of Q(x) (b) Degree of P(x)< degree of Q(x) (c) Degree of Q(x)< degree of P(x) (d) none of these

Q.13 The fraction \frac{x^{2}+7 x+3}{x+1} is :(a) Improper(b) Proper-(c) Equivalent(d) Identity
Q.13 The fraction  \frac{x^{2}+7 x+3}{x+1}  is :(a) Improper(b) Proper-(c) Equivalent(d) Identity

Q.13Thefractionx2+7x+3x+1is:(a)Improper(b)Proper(c)Equivalent(d)IdentityQ.13 The fraction \frac{x^{2}+7 x+3}{x+1} is :(a) Improper(b) Proper-(c) Equivalent(d) Identity

Resolve into partial fractions.5. \frac{3 x+7}{(x+3)\left(x^{2}+4\right)}
Resolve into partial fractions.5.  \frac{3 x+7}{(x+3)\left(x^{2}+4\right)}

Resolveintopartialfractions.5.3x+7(x+3)(x2+4)Resolve into partial fractions.5. \frac{3 x+7}{(x+3)\left(x^{2}+4\right)}

2. Write short answers of the following questions.(ii) What is a proper fraction? .
2. Write short answers of the following questions.(ii) What is a proper fraction? .

2.Writeshortanswersofthefollowingquestions.(ii)Whatisaproperfraction?.2. Write short answers of the following questions.(ii) What is a proper fraction? .

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