If z is any complex number satisfying |z−3−2i|≤2, then minimum value of |2z−6+5i| is___
A
5
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B
2.5
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C
4.5
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D
9
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Solution
The correct option is A 5 Given |z−3−2i|≤2
which represents a circular region with centre (3, 2) and radius 2.
Now |2z−6+5i|=2∣∣z−(3−52i)∣∣ =2× distance of z from P
(where Z lies in or on the circle)
Also min distance of z from P=52 ∴ Minimum value of |2z−6+5i|=5