Q.

For all complex numbers z1  and  z2  satisfying |z1|=12  and  |z2−3−4i|=5  the minimum value of  |z1−z2|  is equal to :

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a

0

b

2

c

7

d

17

answer is B.

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Detailed Solution

|z1|=12 ⇒|z1−0|=12 So, z2  lies on the circle with centre at (3,4) and radius 5.Minimum distance between z1  and  z2 .PQ=OP−OQ=12−10=2
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