JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Hard

1 of 1

Application +4 | -1

When

f(z)

is divided by

z-i

, the remainder is

i

and if

f(z)

is divided by

z+i

, the remainder is

1+i

. If

f(z)

is divided by

z^2+1

, then the remainder is

View answer and explanation

Correct option: B

\frac{1}{2}(i z+1+2 i)

Option B,

\frac{1}{2}(i z+1+2 i)

, is correct because it represents the remainder when f(z) is divided by

z^2+1

, obtained using the remainder theorem.

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