Home › JEE Main › mathematics › Complex Numbers and Quadratic Equations › The value of $i + i^2 + i^3 + i^4$ is:
The value of $i + i^2 + i^3 + i^4$ is:
A0
B$1$
C$-1$
D$i$
Answer & Solution
Correct answer: A. 0
i + i² + i³ + i⁴ = i − 1 − i + 1 = 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 product $(2 + 3i)(2 - 3i)$ equals:The modulus $|1 - i|$ equals:The roots of the equation $x^2 + 1 = 0$ are: