Question # 1

What is the conjugate of -6 -i?

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-6 +i

6+i

-6 -i

6 -i

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Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

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Associative property of addition

Associative property of multiplication

Additive identity

Multiplicative identity

In (x + iy), y is called as

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Imaginary part

Complex number

Real part

None of above

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Principle of equality of fractions

Rule for product of fractions

Golden rule for fractions

Rule for quotient of fractions

∀a,b ε R, ab = be is a

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Commutative law of multiplication

Closure law of multiplication

Associative law of multiplication

Multiplicative identity

The conjugate of √5 i is

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√5

-√5 i

i

5i

The equation |x +4| = x has solution

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x = -2

x = 2

x = -4

x = 4

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Multiplicative inverse of "1" is

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0

±1

1

{0,1}

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√25 is a number

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Rational

Irrational

Natural

Odd

√x = ______ if is a prime number

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Rational no

Natural no

Irrational no

Complex no

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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Trichotomy property

Transitive property

Symmetric property

Additive property

14 is not a

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Prime number

Whole number

Even number

Real number

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)

In R, the multiplicative inverse of a is

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0

1

-a

1/a

The property used in -3 <-2 ⇒0 <1

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Commutative property

Additive property of inequality

Additive inverse

Additive identity

i³ =

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-1

i

-i

1

π is ______

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A complex number

A rational number

A natural number

An irrational number

If P is a whole number greater than 1, which has only P and I are factors. Then P is called

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Wholw number

Prime number

Even number

Odd number

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Associative law of addition

Commutative law of addition

Additive identity

Closure law of 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

Every real number is

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A complex number

A rational number

A natural number

A prime number

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

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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)

The real number system contains.

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Positive Numbers

Negative numbers

Zero

(option a, b and c)

(a-1)-1 =

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a-1

a

-a

None of above

The set {0,-1} hold closure property under

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Addition

Both a & c

Multiplication

None of these

Which of the following has the same value as i¹¹³?

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i

-1

-i

1

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