The vertices of a triangle ABC are $A(4,6),B(1,5)$ and $C(7,2)$. A line is drawn to intersect the sides AB and AC at D and E respectively. Such that $\large\frac{AD}{AB} =\frac{AE}{AC}=\frac{1}{4}$. Then the ratio of $\large\frac{\Delta ADE}{\Delta ABC}$ is _________

Question

$\begin{array}{1 1}(A) \;1:4 \\(B)\;1:2 \\(C)\;1:8 \\(D)\;1:16 \end{array}$