If $\arg{(z - a) = \frac{\pi}{4}}$, where $a \in R$, then the locus of $z \in C$ is a

Question

Dr. Abubacker · Accepted Answer

(d)
Given, $\arg(x - a + iy) = \frac{\pi}{4}$
$\Rightarrow \ 	an^{- 1}{\left( \frac{y}{x - a} ight) = \frac{\pi}{4}}$
$\  \Rightarrow \ \ \ \ \frac{y}{x - a} = 	an\frac{\pi}{4}$
$\Rightarrow \ \ \ y = x - a$
Which is an equation of straight line.

Q. If $\arg{(z - a) = \frac{\pi}{4}}$, where $a \in R$, then the locus of $z \in C$ is a

Explanation

Reviewed by Dr. Abubacker

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