Question

In Fig 6.13, OB is the perpendicular bisector of the line segment DE, FA ⊥ OB and F E intersects OB at the point C. Prove that

1/OA+1/OB = 2/OC.

Answer 1

Solution: Δ AOF and ΔBOD.

∠O = ∠O (Same angle) and ∠A = ∠B (each 90°)

Therefore, ΔAOF ~ ΔBOD (AA similarity)

So, OA/OB = FA/DB      (1)