Question # 1

Factors of x² + y² are:

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(x + iy) (x - iy)

(x + y) (x - y)

(x + y) (x + y)

none

Conjugate of -3 -2 i is:

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3 + 2i

-3 + 2i

2 + 3i

-2 + 3i

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

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a

b

bi

none of these

The set of all rational numbers between 2, 3 is:

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an empty set

an infinite set

a finite set

a power set

Conjugate of a + i b is:

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-a + ib

a + ib

-a - ib

a - ib

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

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b

-b

a

-a

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integer

rationalnumber

irrationalnumber

naturalnumber

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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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a + c = b + d

a + b = c + d

a - b = c - d

None of these

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x = 0

y = 0

x = 0 and y = 0

x = 0 or y = 0

i² + 1 =

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-1

0

i

1

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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closure property w.r.t multiplication

commutativeproperty w.r.t multiplication

associativeproperty w.r.t multiplication

trichotomy property

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rationalnumber

irrationalnumber

naturalnumber

wholenumber

Rational numbers are:

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repeating decimals

terminatingdecimals

periodicdecimals

all of these

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

Conjugate of a- i b is:

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b + ia

-a + ib

-a - ib

a + ib

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Reflexive property

Symmetricproperty

Transitiveproperty

Trichotomyproperty

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

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(-a, b)

(-a, -b)

(a, -b)

none of these

The additive inverse of a real number is a:

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0

-a

a

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