1. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 1
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CLASS
XI
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Composed by Engin Baştürk FEDERAL BOARD
TYPE Objective Partial Fractions No 1
Q1:
3
2 3x x
can be written in the form of partial
fractions as ...............
A)
2 3
A B
x x
B)
2
32
A B
xx
C)
2
2 3
A B
x x
D)
2 3
A B
x x
Q2: If the degree of the polynomial P x is less than the
degree of the polynomial Q x in a rational fraction
P x
Q x
,
then the fraction is called ..................
A) Improper Rational Fraction B) Proper Rational Fraction
C) Improper Rational Equation D) Proper Rational Equation
Q3: If the degree of the polynomial P x is equal to or
greater than the degree of the polynomial Q x in a rational
fraction
P x
Q x
, then the fraction is called ........
A) Improper Rational Fraction B) Proper Rational Fraction
C) Improper Rational Equation D) Proper Rational Equation
Q4: Which of the following is quadratic factor?
A) 2
4x B) 2
1x
C) 2
2 1x x D) 2
5 4x x
Q5: Which of the following is not quadratic factor?
A) 2
4x B) 2
1x
C) 2
1x x D) 2
2x x
Q6: Which of the following is a linear factor
A) 2
x ax B) 2
x bx C) ax b D) 3
1x
Q7: Which of the following is a proper fraction?
A)
2
2 3
2 .2
x x
x x
B)
3
2 8
9
x x
x
C)
1 1 3
1 1 4
x x x
x x x
D)
1
x
Q8: Which of the following is an improper fraction?
A)
2
2 3
2 . 1 . 1
x x
x x x
B)
3
4
2 8
9
x x
x
C)
x a x b x c
x a x b x c
D)
2
3
1
1
x
x
Q9: The partial fraction of 2
1
1x
is ............
A)
1 1
2 1 2 1x x
B)
1 1
2 1 2 1x x
C)
1 1
2 1 2 1x x
D)
1 1
2 1 2 1x x
Q10: To resolve a combined fraction into its pars is
called………….
A) Partial Fractions B) Proper Fraction
D) Improper Fraction D) Combined Fraction
Q11: The form of partial fractions of
2
1
1 4x x
is:
A) 2
1 4
A B
x x
B) 2
1 4
A Bx C
x x
C)
1 2 2
A B C
x x x
D) 2
1
1 4
A
x x
2. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 2
Q12: The form of partial fractions of
2
4
3 4
x
x x
is:
A) 2
4
1 4
x
x x
B) 2
1 4
A B
x x
C)
3 2 2
A B C
x x x
D) 2
3 4
A Bx C
x x
Q13: The form of partial fractions of
2 2
1
1 4
x
x x
is:
A) 2 2
1 4
A B
x x
B) 2 2
1 4
Ax B Cx D
x x
C)
2
2 2
1 4
Ax B Cx Dx
x x
D) 2 2
1 4
Ax B Cx D
x x
Q14: The form of partial fractions of
2
2 2
1
1 3
x
x x
is:
A)
2 2
1 31
A Bx C Dx E
x xx
B)
2 2
1 31
A B C
x xx
C)
2 2
1 31
A B Cx D
x xx
D)
2 2
1 31 3
A B C D
x xx x
Q15: The form of partial fractions of
1
1
x
x x
is:
A)
1
A B
x x
B)
1
A Bx C
x x
C)
1 1
1x x
D)
1
A B
x x
Q16: Resolve 3
2
1x
A) 2
2
1 1
x
x x x
B) 2
2 2
1 1
x
x x x
C) 2
2 2
1 1
x
x x x
D) 2
1 2
1 1
x
x x x
Q17: Resolve 3
11
1x
A)
2
11 11 22
3 1 3 1
x
x x x
B)
2
11 11 22
1 1
x
x x x
C)
2
11 11 22
3 1 3 1
x
x x x
D)
2
11 22 11
3 1 3 1
x
x x x
Q18: Partial fractions of 2
1
1x
are equivalent to:
A)
1 1
2 1 2 1x x
B)
1 1
2 1 2 1x x
C)
1 1
4 1 4 1x x
D)
1 1
2 1 2 1x x
Q19: Partial fractions of 2
1
4x
are equivalent to:
A)
1 1
4 1 4 1x x
B)
1 1
2 1 2 1x x
C)
1 1
4 2 4 2x x
D)
1 1
4 2 4 2x x
Q20: Partial fractions of 2
1
9x
are equivalent to
……………
A)
1 1
9 3 9 3x x
B)
1 1
3 3 3 3x x
C)
1 1
6 3 6 3x x
D)
1 1
4 1 4 1x x
Answer Key
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
