1.
The set of values of xx such that tan⁡−1(xx−2)−tan⁡−1(x2x−1)=tan⁡−1(23)\tan^{-1} \left(\frac{x}{x-2}\right) - \tan^{-1} \left(\frac{x}{2x-1}\right) = \tan^{-1} \left(\frac{2}{3}\right) is