Q2 Let PQ be an h-line in a Poincare disc with center 0. a) The h-points A, B in PQ are located such that |PA| : |AB| : |BQ| = 1 : 1 : 2. The h-circle with h-center B and h-radius |AB|h_intersects the...

Extracted text: Q2 Let PQ be an h-line in a Poincare disc with center 0. a) The h-points A, B in PQ are located such that |PA| : |AB| : |BQ| = 1 : 1 : 2. The h-circle with h-center B and h-radius |AB|h_intersects the radial line OBR at C,D with C closer to O than D, where R is the omega point along OB. 2у-1 If the e-distances |oC| = x ,\OB| = y ,\OD| = z, Prove that x = 2-у b) In part a), if B is in the middle of the radial line, show that the h-circle passes through the center 0 of the Poincare circle.