If $f(z)=z^4-8 z^3+4 z^2+4 z+39$ and $f(3+2 i)=a+i b$, then $a: b=$

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

f(z)=z^4-8 z^3+4 z^2+4 z+39

and

f(3+2 i)=a+i b

, then

a: b=

View answer and explanation

Correct option: B

-1: 8

Option B (-1: 8) is correct because by dividing

f(z)

z^2-6z+13

and substituting

z=3+2i

, we find the ratio a:b is -1:8.

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