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Math 11 Chapter 2
Number System
Test - 14
1.
Simplify i-10?
a) 1
b) -i
c) -1
d) i
2.
There is no sense in saying that one complex number is ______________ than another.
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3.
5 + 4 i and - 5 - 4 i are conjugate numbers.
a) True
b) False
4.
Additive inverse of (a, b) is …………..
a) (a,- b)
b) None
c) (-a, -b)
d) (- a, b)
5.
`
Z
1
+Z
2
a)
`
Z
1
+
`
Z
3
b)
`
Z
1
+
`
Z
2
c)
`
Z
1
+
`
Z
4
6.
A function from A x A into A
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7.
1in polar form can be written as……………
a) Cos0 + i sin0
b) None
c) Cos π/2 + sin∏/2
d) Cos ∏ + i sin ∏
8.
Every real number is also a complex number.
a) False
b) True
9.
The set {I, -1} posses closure property w.r.t………
a) Addition
b) Subtraction
c) None
d) Multiplication
10.
When a and a-1 are multiplicative inverses, then?
a) (a-1)-1 = 1/a2
b) (a-1)-1 = 1/a
c) (a-1)-1 = a
d) (a-1)-1 = a-2
11.
Simplify (-i)9?
a) -i2
b) -i
c) -1
d) i
12.
Simplify (0,3) (0, 5)?
a) (-5,0)
b) (0,-15)
c) (-15,0)
d) (0, 15)
13.
The inverse of element a != 0 with respect to multiplication is?
a) 1
b) -a
c) 0
d) 1 /a
14.
The set {1, - 1 } possesses closure property with respect to addition.
a) False
b) True
15.
Z –
Z
= ………………..
a) -1
b) 0
c) Real number
d) Complex number
16.
The property used in the equation 4+0 = 4 is?
a) Additive inverse
b) Commutative
c) Additive identity
d) Associative
17.
Write as simple complex number 2 -7i / 4+5i?
a) -14/3+38i/4
b) -27/41 -38i/41
c) 27/41 - 38i/41
d) 12/5+19i/4
18.
Circumference of any circle = …………………….
Length of its diameter
a) 2π
b) π
c) π/ 2
d) -π
19.
If a, b belongs to R, a = b =# b = a represents?
a) Transitive property
b) Symmetric property
c) Multiplicative property
d) Reflexive property
20.
The multiplicative inverse of (a, b) is _________________.
a) ( a/a
2
+b
2
b) -b/a
2)
+b
2
)
c) ( a/a
2
+b
2
, -b/a
2)
+b
2
)
d) ( a/a
2
+b
-2
21.
If a, b, c Belongs to R a @ b /\ b @ c =# a @ c represents?
a) Reflexive property
b) Trichotomy property
c) Transitive property
d) Additive property
22.
a @ b and b@c =@ a #c.
a) False
b) True
23.
"
a, b, c
Î
R and c
¹
o, ac=bc =@ _______________________.
a) a = c
b) a - c
c) a + c
d) a / c
24.
For all x,y,z belongs to R, x @ y and y @ z =#?
a) x @ z
b) x ,z
c) x -y @ z
d) x+y @ z
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