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In a triangle $XYZ$, $P$ and $Q$ are points on ${XY,XZ}$ respectively such that $XP=2PY$, $XQ=2QZ$, then the ratio, of area of $\triangle XPQ$ and area of $\triangle XYZ$ is:

  1. $4:9$
  2. $2:3$
  3. $3:2$
  4. $9:4$
in Quantitative Aptitude recategorized by
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1 Answer

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Correct option is A)

Given, XP=2PY, XQ=2QZ and the included angle is equal. Hence the triangles XPQ and XYZ are similar with their sides in the ratio of 2:3. Thus the ratio of areas of the triangles is 4:9
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