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MCQs – Ch # 1: F.Sc Part 1
Text Book of Algebra and Trigonometry Class XI
Available online at http://www.mathcity.org, Version: 1.0.0
Chapter 1: NUMBER SYSTEMS
1)
A)
B)
C)
D)
2)
6)
3 is
The conjugate of – 6 + 3i
A) – 6 – 3i
B) – 6 + 3i
C) 6 + 3i
D) 6 – 3i
7)
The solution set of 5x + 8 = 0 when x ∈ N is
Rational
Irrational
Integer
Prime
Product
− 2 × − 2 is equal to
A) non empty set
A)
B)
C)
D)
3)
–2
2
0
4
B)
C)
8)
A) Z1 Z 2
B) Z1 + Z 2
4)
5)
9)
x>z
x<z
x=z
none of these
10)
A) = Z1 + Z 2
11)
C) ≤ Z1 + Z 2
6)
(- i )5 is
A)
B)
C)
D)
i
–1
1
–i
12)
x – iy
x + iy
– x – iy
{x/x2 + y2, - y /x2 + y2}
The conjugate of a complex number 5i
–5
5i
– 5i
5
The property used in this equation 3 x 7 = 7 x 3 is
called
A)
B)
C)
D)
D) = Z1 × Z 2
Commutative property under multiplication
Associative under multiplication
Distributive under multiplication
Commutative under addition
The additive inverse of a complex number x + yi
A)
B)
C)
D)
Z1 + Z 2 is
B) > Z1 + Z 2
For all x, y, z ∈ R, if (x y ) z = x (yz) then this
property is called
A)
B)
C)
D)
If x < y, y < z then
A)
B)
C)
D)
8
5
A)
B)
C)
D)
C) Z1 − Z 2
Z1
Z2
8
5
D) empty set
Z1 Z 2 =
D)
−
Closure law
Commutative law for addition
Commutative property w.r.t multiplication
Identity
The additive inverse of (-x, -y) is
A)
B)
C)
D)
(-x, -y)
(x, y)
(-x, 0)
(x, -y)

2. MCQs – Ch # 1: F.Sc Part 1
13)
called
The property used in the equation 8 + 0 = 8 is
A)
B)
C)
D)
2
20)
Commutative
Associative
Additive Identity
Additive Inverse
If Z1, Z2 be complex numbers then Z1 + Z 2 =
A) Z1 − Z 2
B) Z1 + Z 2
C) Z1 + Z 2
14)
For all a, b, c ∈ R, if (a + b) + c = a + (b + c) then
the property is called
A)
B)
C)
D)
15)
D) Z1 − Z 2
21)
Commutative under addition
Associative w.r.t addition
Distributive under addition
None of these
A) (a, - b)
B) (-a , b)
 a
2
2
a +b
 −a
D)  2
2
a +b
C) 
The inverse of an element ‘a’ under addition is
A)
1
a
If z = (a, b), then z –1 =
22)
A) a2 – b2
B) a2 + b2
The additive identity is
C)
a 2 − b2
D)
a 2 + b2
A)
B)
C)
D)
17)
23)
A)
B)
C)
D)
A) < z1 + z 2
B) ≤ z1 + z 2
C) > z1 + z 2
D) ≥ z1 + z 2
24)
1
5
¾
5/3
(- i )15 =
A)
B)
C)
D)
Real number
Irrational number
Complex number
Natural number
1 + 2i
=
2−i
If z1 and z2 are any two complex numbers then
z1 − z 2
Real number
Complex number
Irrational number
Natural number
The sum of two conjugate complex numbers is
always a
A)
B)
C)
D)
19)
0
–1
1
none of these
The product of two conjugate complex numbers is
always a
A)
B)
C)
D)
18)
2
If z = a + bi, then z =
B) - a
C) 1
D) 0
16)
−b 

a + b2 
b 
, 2

a + b2 
,
25)
If z1 = (a, b) and z2 = (c, d) then z1z2 =
A)
B)
C)
D)
26)
1
–1
i
–i
(ac – bd,
(ac + bd,
(ad + bc,
(ad – bd,
ad + bc)
cd – bc)
ac – bd)
ac + bd)
2x2 + 3y2 =
A) (2x + 3iy) (2x – 3iy)
B) ( 2 x + 3iy )( 2 x −
C) (2x – 3y) (2x + 3y)
D) ( 2 x +
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3iy )
3 y )( 2 x − 3 yi )
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3. MCQs – Ch # 1: F.Sc Part 1
27)
π ∈ _________
A) N
B) Q
C) Q/
D) none
28)
The magnitude of
37)
If x = 0, then multiplicative inverse of x is _______
A)
1
x
B) – x
C) 1
D) 0
E) none
38)
The real & imaginary part of
The complex No. (a + ib) can be written as ______
A)
5
,
8
5
B) ,
8
8
C) ,
5
The imaginary part of the complex Nos. (b, a) is
______
A) ia
B) b
C) a
D) none
32)
39)
If Z = I then Z = _________
If Z = − Z then Z is _________
40)
35)
i = _________
A) – 1
B) 1
C) 0
D) i
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If the area f triangle is 16, formed by the points Z,
Z+iZ
and
iZ
in
a
complex
plane,
then Z = ______
A) 16
If Z = −1 − i then Z = ________
A) (-1, -1)
B) (-1, 1)
C) (1, -1)
D) none
The value of in = _______ where n is an odd No.
A) – i
B) + i
C) ± i
D) None
A) real
B) imaginary
C) neither type
34)
2
5
−2
5
2
5
D) none
A) i
B) – i
C) ±1
D) none
33)
1
3
+
is
2+i 2−i
_____
A) (a, ib)
B) {a, b}
C) (a, b)
D) [a, b]
31)
1 + 2i
is _________
2 −i
A) 5 + 2i
B) – 1
C) 1
D) none
Every recurring ∈′ terminating decimal represents
A) Q
B) Q/
C) R
D) none
30)
36)
∀x ∈ R, x = x is called _______ property.
A) symmetric
B) reflexive
C) transitive
D) none
29)
3
B) 5 3
C) 4 2
D) none
41)
if x + iy = 5 – 6i
_______
2k
, then imaginary part (y) =
A) – 6
B) 6
C) 0
D) None
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4. MCQs – Ch # 1: F.Sc Part 1
42)
4
43)
is
A real number is always
The property used in the equation 7.8 + (- 7.8) = 0
A)
B)
C)
D)
A) A natural no
B) Positive integer
C) Rational number
D) Complex number
Commutative
Associative
Additive Identity
Additive inverse
****************************************************************************************
Written by NAUMAN IDREES
(nomi255@yahoo.com)
FSc (Session: 2007-09)
ICMS College System Hayatabad, Peshawar
Written by NAUMAN IDREES (nomi255@yahoo.com)
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