If z is any complex number satisfying |z – 3 – 2i| ≤ 2, then the minimum value of |2z – 6 + 5i| is
Answers
Answered by
7
Answer:
the minimum value of |2z – 6 + 5i| is 5
Step-by-step explanation:
|z – 3 – 2i| ≤ 2
|2z – 6 + 5i|
= 2 |z – 3 + 5i/2|
= 2 |z – 3 + 5i/2 -2i + 2i|
= 2 |z – 3 -2i + 9i/2|
= 2 ( |z – 3 -2i - 9/2)
= 2 |2 - 9/2|
= 2 | - 5/2|
= 2 (5/2)
= 5
the minimum value of |2z – 6 + 5i| is 5
Similar questions