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 Past Papers Year 2013
Q1: If a complex number 1 3z i  then z is:
A) 4 B) 2 C) 3 D) 2i
Q2: If  1, 1, ,S i i   , then set " "S is an abelian group
with respect to:
A) Addition B) Multiplication
C) Subtraction D) Division
Q3: The system of linear equations has unique solution if:
A) 0A  B) 0A  C) 0A  D) 0A 
Q4: If ij m n
A a

    is a square matrix t
A A  then A is:
A) Symmetric B) Skew Symmetric
C) Hermition D) None of these
Q5: The sum of cube roots of unity is:
A) 0 B) 1 C) 2 D) 3
Q6: If 2
4 0b ac  then the roots of equation are:
A) Rational B) Distinct
C) Real and Equal D) Imaginary
Q7: A rational fraction
 
 
P x
Q x
in which the degree of
 P X is less than the degree of  Q x is called:
A) Improper Fraction B) Proper Fraction
C) Common Fraction D) None of these
Q8: A.M between 2 and 3 2 is:
A) 4 2 B) 2 2
C) 6 D) None of these
Q9: The sum of infinite G.P 2, 2,1,.........is:
A) 3 2 2 B) 2 2 2
C) 4 2 2 D) 5 2 2
Q10: The number of diagonals of a 6 sided figure is:
A) 9 B) 10 C) 11 D) 12

2. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 2
Q11: In expansion of Binomial Theorem, the general term is:
A) n rn
a b
r
 
 
 
B) n r rn
a b
r
 
 
 
C) r rn
a b
r
 
 
 
D) None of these
Q12:
1
2sin 45 csc45
2
  is equal to:
A)
3
2
B)
1
2
C) 2 D)
5
2
Q13: The measure of   or
3
2

 lies in the .......
quadrant
A) I B) II C) III D) IV
Q14:    sin sin      is equal to:
A) 2cos sin  B) 2sin cos 
C) 2cos cos  D) 2sin sin 
Q15: The period of tan
3
x
is:
A) 2 B)  C) 3 D) 4
Q16: In a triangle ABC if vertex A is at origion then the law
of cosine is:
A) 2 2 2
2 cosa b c bc    B) 2 2 2
2 cosa b c bc   
C) 2 2 2
2 cosb a c ac    D) 2 2 2
2 cosa b c bc   
Q17: In a triangle ABC if one side c and two angles  , 
are given then area will be:
A)
2
sin sin
2sin
a  

B)
2
sin sin
2sin
b  

C)
2
sin sin
2sin
c  

D)
2
sin sin
2sin
c  

Q18: Circum-centre of a circle is the point of intersection of
the:
A) Perpendiculars B) Right Bisectors
C) Angle Bisectors D) Sides Bisectors
Q19: Range of 1
tan x
is:
A)
2 2
x
 
  B) 0 x  
C) 0 x   D) None of these
Q20: If
1
cot
3
x  then ...................x  in interval
 0,2
A)
4
,
3 3
 
B)
5
,
6 6
 
C)
2
3

D)
5
6

Answer Key
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20