Let $a, b, c$ be non-zero real numbers such that $a+b+c=0$, let $q=a^2+b^2+c^2$ and $r=a^4+b^4+c^4$. Then,
Let $a, b, c$ be non-zero real numbers such that $a+b+c=0$, let $q=a^2+b^2+c^2$ and $r=a^4+b^4+c^4$. Then,
- [KVPY 2014]
- A
$q^2 < 2 r$ always
- B
$q^2=2 r$ always
- C
$q^2 > 2 r$ always
- D
$q^2-2 r$ can take both positive and negative values
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