A) \[\frac{\overline{AD}}{\overline{BC}}\]
B) \[\frac{\overline{BE}}{\overline{EC}}\]
C) \[\frac{\overline{AD}+\overline{BE}}{\overline{AD}+\overline{CE}}\]
D) \[\frac{\overline{AD}+\overline{BC}}{\overline{AD}}\]
Correct Answer: D
Solution :
[d] Area of trapezium \[ABCD=\frac{1}{2}\times (AD+BC)\times AE\] Area of \[\Delta AED=\frac{1}{2}\times AE\times AD\] \[\therefore \]Required ratio \[=\frac{\frac{1}{2}(AD+BC)\times AE}{\frac{1}{2}\times AE\times AD}\] \[=\frac{\overline{AD}+\overline{BC}}{\overline{AD}}\] |
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