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Purely Real

Two complex n...

Question

Two complex numbers are represented by ordered pairs $z_{1} : a + i b & z_{2} : c + i d$ , which of the following is correct representation for $z_{1} - z_{2} =$ ?

A

(a - c) - i (b + d)

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B

(a - c) + i (b - d)

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C

(a + c) - i (b + d)

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D

None of these

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Solution

The correct option is C $(a - c) + i (b - d)$
$z_{1} : a + i b$
$z_{2} : c + i d$
$z_{1} - z_{2} = (a - c) + i (b - d)$

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Similar questions

Q. If the points represented by complex numbers

z_{1} = a + i b, z_{2} = c + i d

z_{1} - z_{2}

are collinear, then

z_{1} = a + i b

z_{2} = c + i d

are two complex numbers, then

z_{1} > z_{2}

is meaningful, if

z_{1} = a + i b

z_{2} = c + i d

are two complex numbers then

z_{1} > z_{2}

is meaningful if

z_{1} = a + i b

z_{2} = c + i d

are two complex numbers then

z_{1} > z_{2}

is meaningful if

z_{1} = a + i b

z_{2} = c + i d

are two complex numbers such that

| z_{1} | = | z_{2} | = 1

R e (z_{1} ._{2}) = 0

then for the pair of complex numbers

ω_{1} = a + i c

ω_{2} = b + i d

:

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