Let \( A(-1,1), B(3,4) \) and \( C(2,0) \) be given three a points. A line \( y=m x, m0 \), inte...

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Let \( A(-1,1), B(3,4) \) and \( C(2,0) \) be given three a points.
A line \( y=m x, m0 \), intersects line \( A C \) and \( B C \) at a point \( P \) and \( Q \) respectively. Let \( A_{1} \) and \( A_{2} \) be the areas of \( \triangle A B C \) and \( \triangle P Q C \) respectively, such that \( A_{1}=3 A_{2} \), then the value of \( m \) is equal to
(a) \( \frac{4}{15} \)
(b) 1
(c) 2
(d) 3
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