Complex NumbersHard

Question

If z = x + i y then the equation of a straight line Ax + By + C = 0 where A, B, C ∈ R, can be written on the complex plane in the form = 0 where ′a′ is equal to :

Options

A.
B.
C.A + i B
D.none

Solution

A + C = 0 ⇒ + C = 0 ⇒ z(A - iB) + (A + iB) + 2C = 0

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