If z1 and z2 be complex numbers such that
z1 6= z2 and jz1j = jz2j. If z1 has positive real part
and z2 has negative imaginary part, then
(z1 + z2)
(z1-z2)
may be
A) Purely imaginary B) Real and positive
C) Real and negative D) None of these

Question

Saurabh Koranglekar · Answer

Vikas TU · Answer

Dear student In the above i want to mention that Numerator is purely imaginary whereas denominator is purely real. Note: Im(z) and Re(z) are real numbers. So, it is imaginary.

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If z1 and z2 be complex numbers such that z1 6= z2 and jz1j = jz2j. If z1 has positive real part and z2 has negative imaginary part, then (z1 + z2) (z1-z2) may be A) Purely imaginary B) Real and positive C) Real and negative D) None of these

If z1 and z2 be complex numbers such that
z1 6= z2 and jz1j = jz2j. If z1 has positive real part
and z2 has negative imaginary part, then
(z1 + z2)
(z1-z2)
may be
A) Purely imaginary B) Real and positive
C) Real and negative D) None of these

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If z1 and z2 be complex numbers such that z1 6= z2 and jz1j = jz2j. If z1 has positive real part and z2 has negative imaginary part, then (z1 + z2) (z1-z2) may be A) Purely imaginary B) Real and positive C) Real and negative D) None of these

If z1 and z2 be complex numbers such thatz1 6= z2 and jz1j = jz2j. If z1 has positive real partand z2 has negative imaginary part, then(z1 + z2)(z1-z2)may beA) Purely imaginary B) Real and positiveC) Real and negative D) None of these

2 Answers

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If z1 and z2 be complex numbers such that
z1 6= z2 and jz1j = jz2j. If z1 has positive real part
and z2 has negative imaginary part, then
(z1 + z2)
(z1-z2)
may be
A) Purely imaginary B) Real and positive
C) Real and negative D) None of these