Let z ∈ C with I m ( z ) = 10 and it satisfies 2 z - n 2 z + n = 2 i - 1 for some natural number n . Then

Question

Let z ∈ C with I m ( z ) = 10 and it satisfies 2 z - n 2 z + n = 2 i - 1 for some natural number n . Then, n = 20 and R e ( z ) = 10, n = 40 and R e ( z ) = 10, n = 20 and R e ( z ) = - 10, n = 40 and R e ( z ) = - 10

MARKS App · Accepted Answer

Put z = x + 10 i ∴ 2 x + 10 i - n = 2 i - 1 ⋅ 2 x + 10 i + n compare real and imaginary coefficients x = - 10 , n = 40

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