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If a + b + c = 1 then b + c c + a a + b a2 + b2 + c2 = ? b + c c + a a + b
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- 1
- –1
- 0
- 2
Correct Option: C
| = 1 − | − | |||
| b + c | c + a | a + b |
| ∴ | = a − | − | |||
| b + c | c + a | a + b |
| = 1 − | − | |||
| a + c | b + c | a + b |
| ∴ | = b − | − | |||
| a + c | b + c | a + b |
| = 1 − | − | |||
| a + b | b + c | c + a |
| ∴ | = c − | − | |||
| a + c | b + c | c + a |
| ∴ | + | + | |||
| b + c | a + c | a + b |
| = a + b + c – |  | + |  | – | | + | | – | | + | | ||||||
| c + a | c + a | a + b | a + b | b + c | b + c |
| = a + b + c – b | | | – c | | | – a | | | |||
| c + a | a + b | b + c |
= a + b + c – b – c – a = 0
