Mathematics · 2013
JEE Main · 9 April 2013, Shift 1 · Q63
If Z_1 ≠ 0 and Z_2 be two complex numbers such that Z_2/Z_1 is a purely imaginary number, then |(2 Z_1+3 Z_2)/(2 Z_1-3 Z_2)| is equal to:
If $\displaystyle Z_1 \neq 0$ and $\displaystyle Z_2$ be two complex numbers such that $\displaystyle \frac{Z_2}{Z_1}$ is a purely imaginary number, then $\displaystyle \left|\frac{2 Z_1+3 Z_2}{2 Z_1-3 Z_2}\right|$ is equal to :
Official answer
(4)
$\displaystyle 1$
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.