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  1. If
    x
    =
    y
    =
    z
    then (x + y + z) is
    (b - c)(b + c - 2a)(c - a)(c + a - 2b)(a - b)(a + b - 2c)

    1. a + b + c
    2. 0
    3. a2 + b2 + c2
    4. 2
Correct Option: B

x
=
y
=
z
= 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



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