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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If z1=10+6i,z2=4+6iz_1=10+6 i, z_2=4+6 i and zz is a complex number such that amp⁡(z−z1z−z2)=π4\operatorname{amp}\left(\frac{z-z_1}{z-z_2}\right)=\frac{\pi}{4}, then the value of ∣z−7−9i∣|z-7-9 i| is equal to
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Correct option: A
323 \sqrt{2} \text{}
Option A (323 \sqrt{2} \text{}) is correct because it represents the magnitude of the complex number |z - 7 - 9i| after simplifying the given amplitude condition.

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