\text{ Let } z_{1}, z_{2} \text{ and } z_{3} \text{ be complex numbers such that }|z_{1}| = |z_{2}| = |z_{3}| = |z_{1} +z_{2}+ z_{3}|=2 . \text{ If } |z_{1}-z_{2}| = |z_{1}-z_{3}| \text{ and } z_{2} \neq z_{3} . \text{ Then find the value of }|z_{1}+z_{2}| |z_{1}+z_{3}|

JEE Advanced 2020 Full Test 2 Paper 2

Question : 52 of 54

Marks: +1, -0

‌ Let ‌z1,z2‌ and ‌z3‌ be complex numbers such that ‌|z1|=|z2|=|z3|=|z1+z2+z3|=2.‌ If ‌
|z1−z2|=|z1−z3|‌ and ‌z2≠z3.‌ Then find the value of ‌|z1+z2||z1+z3|

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