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Question

If x+y+z=0, what will be the value of x2+y2+z2(xy+yz+zx)?

A
4
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B
6
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C
2
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D
8
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Solution

The correct option is C 2
Given x+y+z=0

x2+y2+z2+2xy+2yz+2zx=0

x2+y2+z2=2(xy+yz+zx)

x2+y2+z2(xy+yz+zx)=2

Hence, the answer is 2.

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