Question

The equation of plane of a $△ABC$ is $\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=\lambda$ and lengths of sides of $△ABC$ opposite to vertices A, B, C are respectively $\mathrm{p},\mathrm{q},\mathrm{r}$. Mid points of sides of $△\mathrm{ABC}$ lies on coordinate axes. If ${\mathrm{a}}^2=\frac{{\mathrm{q}}^2+{\mathrm{r}}^2-{\mathrm{p}}^2}{2},{\mathrm{b}}^2=\frac{{\mathrm{p}}^2+{\mathrm{r}}^2-{\mathrm{q}}^2}{2}$ and ${\mathrm{c}}^2=\frac{{\mathrm{p}}^2+{\mathrm{q}}^2-{\mathrm{r}}^2}{2}$ then value of $\left|\frac{1}{\lambda }\right|$ is

Answer 1

Answer: 2.00