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If x,y,z are non zero real numbers and i...

If x,y,z are non zero real numbers and if `x cos theta=y cos (theta+(2pi)/3)=z cos (theta+(4pi)/3)` for some `theta in R` then show that `xy+yz+zx=0`

A

`-1`

B

1

C

0

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
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