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Question

For all complex numbers z1,z2 satisfying |z1|= 12 and |z234i|=5 the minimum value of |z1z2| is

A
2
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B
7
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C
17
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Solution

The correct option is A 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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