Question # 1

If Z₁ = a + bi and Z₂ = c + di then Z₁.Z₂ =

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ac + bdi

ac - bd

ac - bd + adi + bci

multiplication is not possible

If Z = Z₂ and Z₂ = Z₃ then Z₁ = Z₃ this property is known as ______ property:

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Reflexive

Symmetric

Transitive

Commutative

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a = Im

a = Re(z)

a = Natural number

None of these

The conjugate of 5+ 4i is:

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-5 +4i

-5 - 4i

5 - 4i

5 + 4i

Which of the following is closure property w.r.to multiplications:

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a + b∈ R∀ a, b∈ R

a. b∈ R∀ a, b∈ R

a + b = b + a∀a,b∈ R

a.b = b.a∀a,b∈ R

If Z₁ = Z₂ then Z₂ = Z₁ this property is known as _______ property:

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Reflexive

Symmetric

Transitive

Closure

Imaginary part of -i (3i+2) is:

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-2

2

3

-3

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x

x⁷

x ^1/7

x^7/2

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Z + W

Every real number is:

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a Positive integer

a rational number

a negative integer

a complex number

Symbol "For all" is used:

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A

Ɐ

gama

D

Which of the following is associative property w.r.to addition:

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a + b = b + a

a (bc) = (ab) c

a + (b + c) = (a + b) + c

None of these

a^m.aⁿ = a^m+nis ________ law of exponents.

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Sum of powers

Power of fraction

Power of power

Law of quotient

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Transtitive

Multiplicative inverse

Multiplicative identity

None

The conjugate of 5 + 4i is

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-5 + 4i

-5 - 4i

5 - 4i

5 + 4i

The real numbers are represented geometrically by points on _________,

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Plane

Line

Space

None

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