## Non-repeated quadratic factors in Denominator -Basic Level

Compared to other sections, Maths is considered to be the most scoring section. If prepared thoroughly, Maths can help students to secure a position in the exam. These questions are very important in achieving your success in Exams after 12th.

Q1. if (x-1)2/(x3+x)=(A/x)+((Bx+C)/x2+1)

•  A=1,B=0,C=2
•  A=1,B=0,C=-2
•  A=-1,B=0,C=-2
•  None of these

A=1,B=0,C=-2

Q2. If 2x/(x3-1)=(A/x-1)+((Bx+c)/(x2+x+1)) then ,

•  A=B=C
•  A=B not =c
•  A=not =B=C
•  A not=B=not= C

A not=B=not= C

Q3. (x2+1)/((2x-1)(x2-1))=

•  (-5/((6x-3))+(3/(x+1))+(1/(x-1))
•  (-5/(6x-3))+(3/(3x+3))+(1/(x-1) )
•  (1/(2x-1))+(5/(x+1))-(3/(x-1))
•  None of these

(-5/(6x-3))+(3/(3x+3))+(1/(x-1) )

Q4. if (ax-1)/((1-x-x2)(2+x))=(x/(1-x+x2))-(1/(2+x)) ,then a=

•  2
•  3
•  4
•  5

3

Q5.  (1)/(x(x2+1))=(A/x)+((Bx+c)/(x2+1)) then (A,B,C)=

•  1,-1,0
•  -1,0,-1
•  0,1,1
•  None of these

1,-1,0

Q6. (3x2+5)/((x2+1)2)=(A/(x2+1))+(B/(x2+1)2) then (A,B)=

•  (2, 3)
•   (3, 2)
•  (– 2,3)
•  (–3, 2)

(3, 2)

Q7.  if (((x-a)(x-b))/((x-c)(x-d)2)) =(A/(x-c))-(B/(x-d))+(C), then C=

•  5
•  4
•  3
•  1

1

Q8. The partial fraction of ((x2-5)/(x2-3x+2)) are

•  1+ 1/(x-1)-1/(x-2)2
•  1/(x-1)+1/(x-2)2
•   1/(x-1)+1/(x-2)2
•  1+ 4/(x-1)-1/(x-2)2

1+ 4/(x-1)-1/(x-2)2

Q9. 27. The coefficient of x4 in the expansion of the expression (3x)/((x-2)(x+1)) =

•  -15/16
•  15/16
•  -16/15
•  16/15

15/16

Q10. The coefficient of x5 in the expansion of (x2+1)/((x2+4)(x-2)) is

•  1/256
•  1/562
•  1/265
•  -1/256

-1/256

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