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Complex Numbers question

2022 · Shift 1 · Q23

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PYQ Library
JEE Advanced
Mathematics
Complex Numbers
2022 · Shift 1 · Q23

Complex Numbers question

2022 · Shift 1 · Q23

JEE AdvancedMathematicsComplex NumbersNumerical+3 / −1

Let

\bar{z}

denote the complex conjugate of a complex number

z

and let

i=\sqrt{-1}

. In the set of complex numbers, the number of distinct roots of the equation

\bar{z}-z^{2}=i\left(\bar{z}+z^{2}\right)

is

\underline{\hspace{2cm}}

.

Numerical answer

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