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If x + y + z = 0, then the value of x2 + y2 + z2 is x2 - yz
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- –1
- 0
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- 2
- –1
Correct Option: D
x + y + z = 0
⇒ –x = y + z
⇒ (–x)2 = (y + z)2
⇒ x2 = y2 + z2 + 2yz ...(i)
| ∴ Expression = | ||
| x2 - yz |
| Expression = | { ∴ Using (i) } | |
| y2 + z2 + 2yz - yz |
| Expression = | ||
| y2 + z2 + yz |
| Expression = | = 2 | |
| y2 + z2 + yz |
