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Complex Numbers question

2024 · 27 Jan · Shift 2 · Q59

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JEE Main
Mathematics
Complex Numbers
2024 · 27 Jan · Shift 2 · Q59

Complex Numbers question

2024 · 27 Jan · Shift 2 · Q59

JEE MainMathematicsComplex NumbersNumerical+4 / −1

Let the complex numbers

\alpha

and

\frac{1}{\bar{\alpha}}

lie on the circles

\left|z-z_0\right|^2=4

and

\left|z-z_0\right|^2=16

respectively, where

z_0=1+i

. Then, the value of

100|\alpha|^2

is

\underline{\hspace{2cm}}

.

Numerical answer

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