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  1. If   x ≠ 0, y ≠ 0 and z ≠ 0 and
    1
    +
    1
    +
    1
    +
    1
    +
    1
    +
    1
    +
    1
    ,
    x2y2z216xyyzzx
    then the relation among x, y, z is
    1. x + y + z = 0
    2. x + y = z
    3. 1
      +
      1
      +
      1
      = 0
      xyz
    4. x = y = z
Correct Option: D

Check through options.
If x = y = z, then

1
+
1
+
1
=
3
x2y2z2x2

and
1
+
1
+
1
xyyzzx

=
1
+
1
+
1
=
3
x2x2x2x2



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