Question # 1

π is defined as:

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ration of diameter of a circle to its circumference

ration of the circumference of a circle to its diameter

ration of area of a circle to its circumference

ration of the circumference of a circle to its area

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

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0

-a

a

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z is purely real

z is any complex number

z is purely imaginary

real part of z = imaginary part of z

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closureproperty

associativeproperty

commutativeproperty

trichotomyproperty

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

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a

b

bi

none of these

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Reflexive property

Symmetricproperty

Transitiveproperty

Trichotomyproperty

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cancellation property w.r.t multiplication

cancellationproperty w.r.t addition

multiplicativeproperty

additiveproperty

Modulus of 15 i + 20 is:

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20

15

25

none of the above

Conjugate of a- i b is:

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b + ia

-a + ib

-a - ib

a + ib

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

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(-a, b)

(-a, -b)

(a, -b)

none of these

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x = 0

y = 0

x = 0 and y = 0

x = 0 or y = 0

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additive property

multiplicative inverseproperty

transitive property

negative property

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0

i

-i

1

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

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3 - 5i

3i - 5

7 - 9i

3 + 5i

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

π, e are:

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integers

natural numbers

rationalnumbers

irrationalnumbers

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Division of a natural number by another natural number gives:

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always a natural number

always an integer

always a rationalnumber

always an irrational number

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a + c = b + d

a + b = c + d

a - b = c - d

None of these

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

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b

-b

a

-a

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