JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

\arg \left(\frac{z-2}{z+2}\right)=\frac{\pi}{4}

for any complex number

z

, then

|z-2 i|=

View answer and explanation

Correct option: A

2 \sqrt{2}

Option A (

2 \sqrt{2}

) is correct because by letting

z=x+iy

and using the given argument condition, we derive the equation of a circle and find

|z-2i| = 2\sqrt{2}

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