Home › CBSE Class 11 › Mathematics › Complex Numbers and Quadratic Equations › The multiplicative inverse of (3 + 4i) is
The multiplicative inverse of (3 + 4i) is
A(3 − 4i)/25
B(3 − 4i)/7
C(3 + 4i)/25
D3 − 4i
Answer & Solution
Correct answer: A. (3 − 4i)/25
1/(3+4i) = (3−4i)/((3)²+(4)²) = (3−4i)/25.
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: