Consider a- b- c as real numbers-X - a - b - a - b - Y - b - c - b - c - Z - c - a - c - aWhat is tha value of XY - YZ - ZX -A- 0B- 1C- 2D- none of these

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Consider a, b...

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Consider a, b, c as real numbers.
$X = \frac{a + b}{a - b}, Y = \frac{b + c}{b - c}, Z = \frac{c + a}{c - a}$ .
What is tha value of XY + YZ + ZX ?

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none of these

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X = \frac{a + b}{a - b}, Y = \frac{b + c}{b - c}, Z = \frac{c + a}{c - a}

X = \frac{a + b}{a - b}, Y = \frac{b + c}{b - c}, Z = \frac{c + a}{c - a}

X = \frac{a + b}{a - b}, Y = \frac{b + c}{b - c}, Z = \frac{c + a}{c - a}

a^{2} + b^{2} + c^{2} + 2 a b c

\frac{x}{b + c - a} = \frac{y}{c + a - b} = \frac{z}{a + b - c},

\frac{x + y + z}{a + b + c} = \frac{x (y + z) + y (z + x) + z (x + y)}{2 (a x + b y + c z)} .

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