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Question
For all complex numbers z1,z2 satisfying |z1|= 12 and |z2−3−4i|=5 the minimum value of |z1−z2| is
For all complex numbers z1,z2 satisfying |z1|= 12 and |z2−3−4i|=5 the minimum value of |z1−z2| is
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Solution
The correct option is B 2
The point z1 and z2 describe circles of radii 12, 5 with centres O and (3, 4). The nearest distance between the circles is 12 - 10 = 2.
The point z1 and z2 describe circles of radii 12, 5 with centres O and (3, 4). The nearest distance between the circles is 12 - 10 = 2.
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