AB and CD are two chords of a circle which intersect at a point O inside the circle. It is given that, AB = 10 cm, CO= 1.5 cm and DO = 12.5 cm. What is the ratio between the larger and smaller among AO and BO?
Answers
Answered by
39
Answer:3:1
Step-by-step explanation:
By the property of circle when 2 chords intersect each other
AO ×OB=CO ×OD
(OB =10 -AO)
10-OB ×OB=1.5×12.5
OB^2-10 OB +18.75=0
on solving the equation you will get x 2.5i.e OB
And AO=10-2.5=7.5
The ratio of 7.5/2.5=3:1
Similar questions