Mathematics

$$PE=4cm, QE=4.5cm, PF=8cm$$ and $$RF=9cm$$.If True enter 1 else if False enter 0.


ANSWER

1


SOLUTION
In figure
$$\cfrac {PE}{EQ}=\cfrac{4}{4.5}=\cfrac {8}{9}$$ and $$\cfrac{PF}{FR}=\cfrac{8}{9}$$
$$\Rightarrow$$ $$\cfrac {PE}{EQ}=\cfrac {PF}{FR}$$
From the converse of proportionality theorem, $$EF\parallel QR$$
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