Mathematics · essential
Conjugate identities for JEE
Algebra of complex numbers
Formula
\[\overline{z_1+z_2}=\overline z_1+\overline z_2,\quad \overline{z_1-z_2}=\overline z_1-\overline z_2,\quad \overline{z_1z_2}=\overline z_1\,\overline z_2,\quad \overline{\left(\frac{z_1}{z_2}\right)}=\frac{\overline z_1}{\overline z_2}\]
Variables: \(z_1,z_2\in\mathbb C\)
Conditions: For quotient, \(z_2\neq 0\)
Manipulation of expressions involving conjugates.