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Let \(z_1\) and \(z_2\) be complex numbers such that \(z_2/z_1\) is pure imaginary and \(2z_1\) is not equal to \(7z_2.\) Compute \(\left | (2z_1+7z_2)/(2z_1-7z_2)\right |\)

 

I'd appreciate any help, and thanks in advance.

 Jul 21, 2020
edited by Firebolt  Jul 21, 2020
 #1
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The magnitude works out to 4/49.

 Jul 22, 2020

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