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If x = y = z then (x + y + z) is (b - c)(b + c - 2a) (c - a)(c + a - 2b) (a - b)(a + b - 2c)
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- a + b + c
- 0
- a2 + b2 + c2
- 2
- a + b + c
Correct Option: B
= | = | = k | ||||
(b - c)(b + c - 2a) | (c - a)(c + a - 2b) | (a - b)(a + b - 2c) |
∴ x = k (b – c) (b + c – 2a) = k{b2 – c2 – 2a(b – c)}
y = k (c – a) (c + a – 2b) = k{c2 – a2 – 2b(c – a)}
z = k (a – b) (a + b – 2c) = k{a2 – b2 – 2c(a – b)}
∴ x + y + z = k[ b2 – c2 + c2 – a2 + a2 – b2 – 2 {a(b – c) + b (c – a) + c (a – b)} ]
x + y + z = 0 – 2(ab – ac + bc – ab + ac – bc) = 0