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 :
= 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
+ C = 0 ⇒ + C = 0 ⇒ z(A - iB) + (A + iB) + 2C = 0Create a free account to view solution
View Solution FreeMore Complex Numbers Questions
If 1, ω, ω2 are the three cube roots of unity and α, β and γ are the cube roots of p, p < 0,...Let z1 and z2 be two non real complex cube roots of unity and |z - z1|2 + |z - z2|2 = λ be the equation of a circle...Let z & w are two complex numbers such that |z| = 1 & w = z + iz2. If z1 is value of z for which |w| is maximum, then si...The product of n, nth roots of unity is-...If (√3 + i)100 = 299 (a + ib), then a2 + b2 is equal to -...