Let, \(\displaystyle z_{1}=10+6i\: \: and\: \: z_{2}=4+6i\). If \(z\) is any complex number such...

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Let, \(\displaystyle z_{1}=10+6i\: \: and\: \: z_{2}=4+6i\). If \(z\) is any complex number such that the argument of \(\displaystyle \dfrac{\left ( z-z_{1} \right )}{\left ( z-z_{2} \right )} \) is \(\dfrac{ \pi}{4},\) then \(| z - 7 - 9i |\) is
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