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  1. If
    x
    =
    y
    =
    z
    and x + y + z ≠ 0, then each ratio is
    xa + yb + zcya + zb + xcza + xb + yc

    1. 1
      a - b - c
    2. 1
      a + b - c
    3. 1
      a - b + c
    4. 1
      a + b + c
Correct Option: D

x
=
y
=
z
xa + yb + zcya + zb + xcza + xb + yc

=
x + y + z
xa + yb + zc + ya + zb + xc + za + xb + yc

=
x + y + z
xa + ya + za + yb + ya + yc + zc + zb + zc + za

=
x + y + z
a(x + y + z) + b(x + y + z) + c (x + y + z)

=
x + y + z
(a + b + c)(x + y + z)

=
1
a + b + c



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