Question
In ΔPQR, straight line parallel to the base QR cuts PQ at X and PR at Y. If PX : XQ = 5 : 6, then XY : QR will be
Answer: Option A
∵ ΔPQR ∼ ΔPXY
$$\eqalign{
& \frac{{PX}}{{PQ}} = \frac{{XY}}{{QR}} \cr
& \frac{5}{{\left( {5 + 6} \right)}} = \frac{{XY}}{{QR}} \cr
& XY:QR = 5:11 \cr} $$
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∵ ΔPQR ∼ ΔPXY
$$\eqalign{
& \frac{{PX}}{{PQ}} = \frac{{XY}}{{QR}} \cr
& \frac{5}{{\left( {5 + 6} \right)}} = \frac{{XY}}{{QR}} \cr
& XY:QR = 5:11 \cr} $$
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