What is the area of the triangle with vertices
\(\left( {{x_1},\frac{1}{{{x_1}}}} \right),\left( {{x_2},\frac{1}{{{x_2}}}} \right),\left( {{x_3},\frac{1}{{{x_3}}}} \right)\)
1
|(x1 – x2) (x2 – x3) (x3 – x1)|
2
0
3
\(\left| {\frac{{\left( {{x_1} - {x_2}} \right)\left( {{x_2} - {x_3}} \right)\left( {{X_3} - {x_1}} \right)}}{{{x_1}{x_2}{x_3}}}} \right|\)
4
\(\left| {\frac{{\left( {{x_1} - {x_2}} \right)\left( {{x_2} - {x_3}} \right)\left( {{x_3} - {x_1}} \right)}}{{2{x_1}{x_2}{x_3}}}} \right|\)