If \[{{z}_{1}}=10+6i,{{z}_{2}}=4+6i\] and \[z\] is a complex number su – McqOptions

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1.	If \[{{z}_{1}}=10+6i,{{z}_{2}}=4+6i\] and \[z\] is a complex number such that \[amp\left( \frac{z-{{z}_{1}}}{z-{{z}_{2}}} \right)=\frac{\pi }{4},\] then the value of \[\|z-7-9i\|\] is equal to [IIT 1990]
A.	\[\sqrt{2}\]
B.	\[2\sqrt{2}\]
C.	\[3\sqrt{2}\]
D.	\[2\sqrt{3}\]
Answer» D. \[2\sqrt{3}\]

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