452
Question
For all complex numbers z1,z2 satisfying |z1|=12 and |z2−3−4i|=5 , find the minimum value of |z1−z2|
For all complex numbers z1,z2 satisfying |z1|=12 and |z2−3−4i|=5 , find the minimum value of |z1−z2|
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Solution
The correct option is A 2
|z1−z2|≥|z1|−|z2|
|z2−(3+4i)|≥|z2|−5
|z2|≤10
|z1−z2|≥12−10=2
|z1−z2|≥|z1|−|z2|
|z2−(3+4i)|≥|z2|−5
|z2|≤10
|z1−z2|≥12−10=2
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