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If $$x \ne 0,$$   $$y \ne 0$$   and $$z \ne 0$$   and $$\frac{1}{{{x^2}}}$$  + $$\frac{1}{{{y^2}}}$$  + $$\frac{1}{{{z^2}}}$$  = $$\frac{1}{{xy}}$$  + $$\frac{1}{{yz}}$$  + $$\frac{1}{{zx}}$$  then the relation among x, y, z is?
Options:
A .  x + y + y = 0
B .  x + y = z
C .  $$\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 0$$
D .  x = y = z
Answer: Option D

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