Question # 1

Conjugate of a + i b is:

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-a + ib

a + ib

-a - ib

a - ib

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If z = x + i y = r (cos Θ + i sin Θ), then arg z is:

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tan Θ

cos²Θ + sin²Θ

r

Θ

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closureproperty

associativeproperty

commutativeproperty

trichotomyproperty

The real part of the complex number a + bi is:

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b

-b

a

-a

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rational number

irrational number

natural number

whole number

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rationalnumber

irrationalnumber

naturalnumber

wholenumber

π, e are:

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integers

natural numbers

rationalnumbers

irrationalnumbers

The set of negative integers is closed with respect to:

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addition

multiplication

both (a) and (b)

subtraction

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a + c = b + d

a + b = c + d

a - b = c - d

None of these

The identity element with respect to addition is:

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0

1

-1

0 and 1

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Factors of x² + y² are:

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(x + iy) (x - iy)

(x + y) (x - y)

(x + y) (x + y)

none

The additive inverse of a real number is a:

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0

-a

a

The multiplicative invers of a non-zero real number a is:

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0

-a

a

Conjugate of complex number (-a, -b) is:

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(-a, b)

(-a, -b)

(a, -b)

none of these

Conjugate of -3 -2 i is:

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3 + 2i

-3 + 2i

2 + 3i

-2 + 3i

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Additive property

Multiplicativeproperty

Reflexiveproperty

Transitive property

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Reflexive property

Symmetricproperty

Transitiveproperty

Trichotomyproperty

Every real number is also a/an:

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integer

rational number

irrationalnumber

complexnumber

If z₁ = 4i and z₂ = 3 - 9i, then z₁ + z₂ =

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3 - 5i

3i - 5

7 - 9i

3 + 5i

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