Home › JEE Main › Mathematics › Complex Numbers and Quadratic Equations › If z = a + ib is purely imaginary, then
If z = a + ib is purely imaginary, then
Ab = 0
Ba = b
Ca = −b
Da = 0
Answer & Solution
Correct answer: D. a = 0
Purely imaginary means the real part is zero, i.e. a = 0 (and b ≠ 0).
Related questions
The number of distinct $n$th roots of a non-zero complex number is:Using De Moivre's theorem, $(\cos\theta + i in\theta)^4$ equals:The modulus of $z = 5 + 12i$ is:The conjugate of $z = 3 - 4i$ is:If $z = a + ib$ is non-zero, its multiplicative inverse $z^{-1}$ is:The value of $i + i^2 + i^3 + i^4$ is:The product $(2 + 3i)(2 - 3i)$ equals:The modulus $|1 - i|$ equals: