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Complex Numbers question

2021 · 26 Feb · Shift 2 · Q43

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JEE Main
Mathematics
Complex Numbers
2021 · 26 Feb · Shift 2 · Q43

Complex Numbers question

2021 · 26 Feb · Shift 2 · Q43

JEE MainMathematicsComplex NumbersNumerical+4 / −1

Let z be those complex numbers which satisfy | z + 5 |

\le

4 and z(1 + i) +

\overline z

(1

-

i)

\ge -

10, i =

\sqrt { - 1}

. If the maximum value of | z + 1 |2 is

\alpha

+

\beta\sqrt 2

, then the value of (

\alpha

+

\beta

) is

\underline{\hspace{2cm}}

.

Numerical answer

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