Question # 1

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z is purely imaginary

a is any complex number

z is real

None of these

If Z₁= 1 + i, Z₂= 2+3i, then |Z₂- Z₁| = ?

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Multiplicative inverse of "1" is

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0

±1

1

{0,1}

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Set of whole number

Rational Numbers

Complex numbers

Whole numbers

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real number

complex number

rational number

irrational number

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Which element is the additive inverse of (a, b) in Complex numbers?

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(a, 0)

(0, b)

(a, b)

(-a, -b)

i¹⁰¹=

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i

i²

-i

-1

The set of natural no. is closed under

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multiplication

subtraction

difference

division

2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called

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Associative property

Identity property

Commutative property

Closure property w.r.t multiplication

Union of the sets of rational and irrational numbers is called 6th set of

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Natural numbers

Real numbers

Whole numbers

Prime numbers

Every prime number is also

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Rational number

Even number

Irrational number

Multiple of two numbers

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∀a,b, c ε R,a +c = b + c = > a = b

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Reflexive property

Symmetric property

Cancellations property w.r.t. addition

Transitive property

(a,b) +(-a,-b) =

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(0,0)

(a,b)

(-a,-b)

(1,1)

The real number system contains.

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Positive Numbers

Negative numbers

Zero

(option a, b and c)

Some of two real numbers is also a real number , this property is called:

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Commutative property w.r.t addition

Closure property w.r.t. addition

Associative property w.r.t. addition

Distributive property w.r.t addition

∀x, y ∈ R, either x = y or x > y or x < y is

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Transitive property

Reflexive property

Trichotomy property

None of these

The identity element with respect to subtraction is

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0

1

-1

Does not exist

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14 is not a

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Prime number

Whole number

Even number

Real number

Name the property used in 1000 x 1 = 1000

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additive inverse

multiplicative inverse

additive identity

multiplicative identity

0.25 is ______

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An irrational number

A natural number

A prime number

A rational number

(a^-1)^-1=

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a^-1

a

-a

None of above

√(-1b) =?

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b i

-i b

b2

i√b

Name the property used in 4 + 9 = 9 + 4

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Associative property of addition

Commutative property of addition

Distributive property

Additive identity

The set {1, 2, 3, 4, ....} is called

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Set of Natural numbers

Set of whole numbers

Set of rational number

Set of irrational numbers

Which of the following has the same value as i¹¹³?

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i

-1

-i

1

It is not possible to find the exact value of

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π

√9

∛27

√1

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A positive integer

A negative integer

A natural number

An irrational number

If z = (x,y) , then z ̅ =

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(-x,y)

(x,-y)

(-x, -y)

None of these

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