JEE Main Complex Numbers and Quadratic Equations — practice questions
17 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice JEE Main Complex Numbers and Quadratic Equations in the app →The value of $i^2$ is:The value of $i^3$ is:For the complex number $z = 2 + 5i$, the imaginary part $\operatorname{Im}(z)$ is:The complex conjugate of $3 - 4i$ is:The modulus $|3 + 4i|$ equals:The multiplicative inverse of $i$ (i.e. $1/i$) is:The value of $i^{10}$ is:The value of $(1 + i)^2$ is:The roots of the equation $x^2 + 1 = 0$ are:The modulus $|1 - i|$ equals:The product $(2 + 3i)(2 - 3i)$ equals:The value of $i + i^2 + i^3 + i^4$ is:If $z = a + ib$ is non-zero, its multiplicative inverse $z^{-1}$ is:The conjugate of $z = 3 - 4i$ is:The modulus of $z = 5 + 12i$ is:Using De Moivre's theorem, $(\cos\theta + i in\theta)^4$ equals:The number of distinct $n$th roots of a non-zero complex number is: