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JEE • Mathematics

Complex Number

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formula

Complex Form, Conjugate and Equality

The chapter starts with z=a+ibz=a+ib, its conjugate, and equality of complex numbers.

z=a+ib,z‾=a−ibz=a+ib,\quad \overline{z}=a-ib
z1=z2⇒Re⁡(z1)=Re⁡(z2) and Im⁡(z1)=Im⁡(z2)z_1=z_2\Rightarrow \operatorname{Re}(z_1)=\operatorname{Re}(z_2)\text{ and }\operatorname{Im}(z_1)=\operatorname{Im}(z_2)

Variables & Notation

zz

complex number