Two circles with centre o and o' touch each other at x.oo' produced meets the circle with centre o at the point c o'd is perpendicular to ac.find value of do'/co.
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Given
AO' = O'X = XO = Radius = r
∴ AO = 3r and AO' = r
In ΔADO' and ΔACO
⇒ ∠ADO' = ∠ACO = 90°
⇒ ∠DAO' = ∠CAO (common angle)
⇒ ΔADO' similar to ΔACO ( AA similarity)
⇒ DO/CO = AO'/AO
⇒ DO'/CO = r/2r = 1/3
AO' = O'X = XO = Radius = r
∴ AO = 3r and AO' = r
In ΔADO' and ΔACO
⇒ ∠ADO' = ∠ACO = 90°
⇒ ∠DAO' = ∠CAO (common angle)
⇒ ΔADO' similar to ΔACO ( AA similarity)
⇒ DO/CO = AO'/AO
⇒ DO'/CO = r/2r = 1/3
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