A) 4 : 9
B) 2 : 3
C) 3 : 2
D) 9 : 4
Correct Answer: A
Solution :
Given \[\frac{XP}{XY}=\frac{2}{3}\] Referring figure, \[\frac{Area\,\,of\,\,\Delta \,XPQ}{Area\,\,of\,\,\Delta \,XYZ}=\frac{\frac{1}{2}PQ\times XL}{\frac{1}{2}\times YZ\times XM}\] \[=\frac{PQ}{YZ}\times \frac{PQ}{YZ}\] \[{{\left( \frac{PQ}{YZ} \right)}^{2}}={{\left( \frac{2}{3} \right)}^{2}}=\frac{4}{9}\]You need to login to perform this action.
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