If z1, z2 and z3 are three distinct complex numbers such that 1∣z1−z2∣=3∣z2−z3∣=5∣z1−z3∣, then the value of 1z1−z2+9z2−z3+25z3−z1 is
A
zero
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B
1
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C
15
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D
9
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Solution
The correct option is C zero Let 1∣z1−z2∣=3∣z2−z3∣=5∣z1−z3∣=1k