## The figure above shows Line $$L,$$ Circle $$1$$ with center at $$C_1,$$ and Circle $$2$$ with center at $$C_2.$$ Line

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### The figure above shows Line $$L,$$ Circle $$1$$ with center at $$C_1,$$ and Circle $$2$$ with center at $$C_2.$$ Line

by Gmat_mission » Sun Sep 12, 2021 9:10 am

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## Global Stats

The figure above shows Line $$L,$$ Circle $$1$$ with center at $$C_1,$$ and Circle $$2$$ with center at $$C_2.$$ Line $$L$$ intersects Circle $$1$$ at points $$A$$ and $$B,$$ Line $$L$$ intersects Circle $$2$$ at points $$D$$ and $$E,$$ and points $$C_1$$ and $$C_2$$ are equidistant from line $$L.$$ Is the area of $$\triangle ABC_1$$ less than the area of $$\triangle DEC_2?$$

(1) The radius of Circle $$1$$ is less than the radius of Circle $$2.$$
(2) The length of chord $$AB$$ is less than the length of chord $$DE.$$