Question # 1

If z=(x,y) then z has no multiplicative inverse when

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x ≠ 0, y = 0

x = 0, y = 0

x = 0, y ≠ 0

None of these

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

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

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√3 i

√7

-2-i

√5

Geometrically the modulus of a complex number represents its distance from the

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Point (1,0)

Point (0,1)

Point (1,1)

Point (0,0)

Any recurring decimal represents a

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Irrational no

Integer

Rational no

None of these

∀a,b,c∈R and c>0,then

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a>b ⇒ ac < bc

a>b ⇒ ac > bc

a<b ⇒ ac > bc

None of these

∀x,y∈R and x> 0 , y>0, if x > y

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None of these

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If 4 > b or a < b than a = b is a

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Additive property

Transitive property

Trichotomy property of inequality

None of above

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Principle of equality of fractions

Rule for product of fraction

Rule for quotient of fraction

What is the conjugate of -6 -i

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-6 +i

6 + i

-6 -i

6 -i

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Rational

Irrational

Even

Odd

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Associative law of multiplication

Commutative law of addition

Commutative law of multiplication

Associative law of addition

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a = a

a < a

a > a

a²= a

The equation |x +4| = x has solution

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x = -2

x = 2

x = -4

x = 4

QUQ'

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If a is any real number and a = a is called

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symmetric property

Trichotomy Properties

Transitive Property

Reflexive Properties

The polar form of complex number x ≠ I y =

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r cos θ+ r sin θ

r cos θ+ is sin θ

cos θ+ r sin θ

i cos θ+ i sin θ

(a,0) x (c, 0) =

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(0,ac)

(ac, 0)

(0,0)

(a, c)

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Commutative property of addition

Closure property of addition

Additive inverse

Associative property w.r.t. to addition

∀x,y,z ∈ R and z 0,then

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x > y ⇒ xz > yz

x<y ⇒ xz < yz

x < y ⇒ xz > yz

None of these

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additive property

multiplicative property

additive inverse

additive identity

Geometrically, the modulus of a complex number represents its distance from the

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Point (1, 0)

Point (0, 1)

Point (1, 1)

Point (0, 0)

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Symmetric property

Cancellation property w.r.t. multiplication

Reflexive property

Transitive property

i⁹ =

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i²

-1

1

i

The multiplicative inverse of -3i is

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3i

-3i

-1/3i

1/3 i

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

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36 + (-32)i

-36 + 32i

6 + (-11)1

0, +(-12)i

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