Q2 Let PQ be an h-line in a Poincare disc with center 0. a) The h-points...

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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| : JAB|: |BQ| = 1 :1: 2. The h-circle with h-center B and h-radius JAB|, intersects the radial line OBR at C, D with C closer to 0 than D, where R is the omega point along OB. If the e-distances 1OC| = x,10B| = y,|OD| = z, Prove that x = 2у-1 2-y b) In part a), if B is in the middle of the radial line, show that the h-circle passes through the center O of the Poincare circle. 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| : JAB|: |BQ| = 1 :1: 2. The h-circle with h-center B and h-radius JAB|, intersects the radial line OBR at C, D with C closer to 0 than D, where R is the omega point along OB. If the e-distances 1OC| = x,10B| = y,|OD| = z, Prove that x = 2у-1 2-y b) In part a), if B is in the middle of the radial line, show that the h-circle passes through the center O of the Poincare circle.