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Questions  >>  Olympiad-Math  >>  Class 10
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Q)

In the given figure $PQ \parallel BC$.$\large\frac{AP}{PB}$$=4$then the value of $\large\frac{AQ}{AC}$

$\begin{array}{1 1} \large\frac{4}{5} \\ 5 \\ 4 \\ \large\frac{5}{4} \end{array} $

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A)
Solution :
Given $\large\frac{AP}{PB} = \frac{4}{1}$
Let AP =4x and PB = x then $AB=AP+PB$
$4x+x=5x$
Since $PQ \parallel BC$
$\large\frac{AP}{AB} =\frac{AQ}{AC}$
$\large\frac{AQ}{AC} = \frac{AP}{AB} =\frac{4x}{5x}=\frac{4}{5}$
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