If \[x,\ y,\ z\] are real and distinct, then\[u={{x}^{2}}+4{{y}^{2}}+9{{z}^{2}}-6yz-3zx-zxy\] is always [IIT 1979]

If \[x,\ y,\ z\] are real and distinct, then\[u={{x}^{2}}+4{{y}^{2}}+9

1.	If \[x,\ y,\ z\] are real and distinct, then\[u={{x}^{2}}+4{{y}^{2}}+9{{z}^{2}}-6yz-3zx-zxy\] is always [IIT 1979]
A.	Non-negative
B.	Non-positive
C.	Zero
D.	None of these
Answer» B. Non-positive

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If \[x,\ y,\ z\] are real and distinct, then\[u={{x}^{2}}+4{{y}^{2}}+9{{z}^{2}}-6yz-3zx-zxy\] is always [IIT 1979]

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