Task 916
Task 916: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. The line with equation $y = x$ is an axis of symmetry of the curve with equation \ y = \frac{px + q}{rx + s},\ where $p,$ $q,$ $r,$ $s$ are all nonzero. Which of the following statements must hold? (A)…
The task
The line with equation $y = x$ is an axis of symmetry of the curve with equation \[y = \frac{px + q}{rx + s},\]where $p,$ $q,$ $r,$ $s$ are all nonzero. Which of the following statements must hold? (A) $p + q = 0$ (B) $p + r = 0$ (C) $p + s = 0$ (D) $q + r = 0$ (E) $q + s = 0$ (F) $r + s = 0$