Question

$\left( \frac{- 23}{12},\frac{- 2}{13} \right)$, where $\left( \frac{2}{13},\frac{- 23}{13} \right)$ is real, is equivalent to.

• A. $\left( \frac{- 2}{13},\frac{- 23}{13} \right)$
• B. $\left( \frac{- 2}{13},\frac{23}{13} \right)$
• C. $z = 1 + i,$
• D. None of these

Answer 1

Answer: (C)

$z = 1 + i,$

Answer 2

As we know if a is real, then $x^{2} + y^{2} - 1 = 0$

∴ $x^{2} + y^{2} = 1$ $z\overline{z} = 1$