Question # 1

a >b ⇒a +c >b +c is known as

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Trichotomy property

Additive property of inequality

Transitive property

Multiplicative property

If z₁ = 1 + 2i, z₂ = 3 + 4i then

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z₁ > z₂

z₁ = z₂

z₁ < z₂

None of these

In R the right cancellation property w.r.t. addition is

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Every irrational number is

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A real number

A prime number

A natural number

An integer

A prime number can be a factor of a square only if it occurs in the square at least

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Once

Thirce

Twice

None of these

The additive inverse of 1 is

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1

-1

0

Does not exist

∀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

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1

-i

i

0

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If Z = (1,2), then Z^-1 =?

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(0.2, 0.4)

(-0.2 ,0.4)

(0.2,-0.4)

(-0.2,-0.4)

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(a + b)c = ac + bc

a + b = b + a

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

a(b +c) = ab + ac

The real number system contains.

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Positive Numbers

Negative numbers

Zero

(option a, b and c)

√2 is a number

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Rational

Irrational

Even

Odd

The additive identity of real number is

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1

2

1/2

0

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Principle of equality of Fractions

Rule for product of fraction

Golden rule of fraction

Rule of quotient of Fraction

The square roots of negative numbers is called

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Real no

Complex no

Positive no

Negative no

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)

∀ z ∈ C, multipliucative is

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(1,1)

(1,0)

(0,1)

None of these

The multiplicative inverse ofx^(-1) is

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x

a-2

0

1

The additive inverse of 0 is

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1

-1

0

Does not exist

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∀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

What is the conjugate of -6 -i?

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-6 +i

6+i

-6 -i

6 -i

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Symmetric property

Cancellation property w.r.t. multiplication

Reflexive property

Transitive property

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

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1

-1

The negative square root of 9 can be written as:

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-√9

√9

√18

-√18

The multiplicative inverse of -3i is

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3i

-3i

-1/3i

1/3 i

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

What is the conjugate of -7 -2i?

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-7 + 2i

7 + 2i

7 -2i

None of these

The multiplicative inverse of (a,b) is

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