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Complex Numbers question

2024 · 31 Jan · Shift 2 · Q45

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2024 · 31 Jan · Shift 2 · Q45

Complex Numbers question

2024 · 31 Jan · Shift 2 · Q45

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Let

z_1

and

z_2

be two complex numbers such that

z_1+z_2=5

and

z_1^3+z_2^3=20+15 i

Then,

\left|z_1^4+z_2^4\right|

equals -

A
$15 \sqrt{15}$
B
$30 \sqrt{3}$
C
$25 \sqrt{3}$
D
75

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