Question: (a) Prove that PF 1 = a + x 0 e and PF 2 = a x 0 e. Show that PF 1 2

(a) Prove that PF1 = a + x0e and PF2 = a − x0e. Show that PF12 − PF22 = 4x0c. Then use the defining property PF1 + PF2 = 2a and the relation e = c/a.

(b) Verify that FR PF F2R PF2

(c) Show that sin θ1 = sin θ2. Conclude that θ1 = θ2.

Verify that FR PF F2R PF2

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