1
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|
Open in App
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
Suggest Corrections
0
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
