What is the area of the triangle with vertices\(\left( {{x_1},\frac{1}{{{x_1}}}} \right),\left( {{x_2},\frac{1}{{{x_2}}}} \right),\left( {{x_3},\frac{1}{{{x_3}}}} \right)\)

• A. |(x­1 – x2) (x2 – x3) (x3 – x1)|
• B. 0
• C. \(\left| {\frac{{\left( {{x_1} - {x_2}} \right)\left( {{x_2} - {x_3}} \right)\left( {{X_3} - {x_1}} \right)}}{{{x_1}{x_2}{x_3}}}} \right|\)
• D. \(\left| {\frac{{\left( {{x_1} - {x_2}} \right)\left( {{x_2} - {x_3}} \right)\left( {{x_3} - {x_1}} \right)}}{{2{x_1}{x_2}{x_3}}}} \right|\)