Complex NumbersHard
Question
ABCD is a square, vertices being taken in the anticlockwise sense. If A represents the complex number z and the intersection of the diagonals is the origin then
Options
A.B represents the complex number iz
B.D represents the complex number i
C.B represents the complex number i
D.D represents the complex number - i
Solution
(-z) ⇒ C
for B,
= eiπ/2 ⇒ zB = iz ⇒ zD = - iz
for B,
= eiπ/2 ⇒ zB = iz ⇒ zD = - izCreate a free account to view solution
View Solution FreeMore Complex Numbers Questions
If g(x) and h(x) are two polynomials such that the polynomial P(x) = g(x3) + xh(x3) is divisible by x2 + x + 1, then -...Which of the following, loci of z on the complex plane represents a pair of straight lines ?...If 1, α1, α2, α3, α4 be the roots of x5 - 1 = 0, then find the value of (where ω is imaginary c...The equation of the radical axis of the two circles represented by the equations,|z - 2| = 3 and |z - 2 - 3 i| = 4 on th...If 2 cosθ = x + and 2 cos φ = y + , then...