2. Let l be the line x² + y² − 4x + 2y +1 = 0 and drop a perpendicular from O to Q E l. (a) Explain why Q has co-ordinates (✓t, - ✓t) for some t = (0,1). (b) Show that the hyperbolic distance 8 = d(O,Q) of l from the origin is In 1+15. 2 (c) = (0,-1) is an omega-point for l. Compute the angle of parallelism μ = LQON Ω explicitly and check that cosh 8 = cscµ.