complex numbers

find the solution set for z given that,

|z+a| + |z-a| = |a|

where a = real number

2 Answers

106
Asish Mahapatra ·

|z+a| + |z-a| ≥ |z+a - (z-a)|
= |2a|

So, there doesnt exist any z for which abv eqn gives a soln

1
pritishmasti ............... ·

thanks ashish
another one

find the solution set for 'z' satisfying :

arg(z - (5+i)z - (1+i)) = π4

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