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If a + b + c = m and 1 + 1 + 1 = 0, then average of a2,b2 and c2 is a b c
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- m2
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m2 3 -
m2 9 -
m2 27
Correct Option: B
a + b + c = m
| and , | + | + | = 0 | |||
| a | b | c |
| ⇒ | = 0 | |
| abc |
⇒ bc + ac + ab = 0
∴ (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
⇒ m2 = a2 + b2 + c2 + 2 × 0
⇒ a2 + b2 + c2 = m2
| ∴ Required average = | = | ||
| 3 | 3 |
