In an acute angled \( \triangle A B C \), let \( A D, B E \) and \(...

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In an acute angled \( \triangle A B C \), let \( A D, B E \) and \( C F \) be the perpendicular from \( A, B \) and \( C \) upon the opposite sides of the
\( \mathrm{P} \) triangle. (All symbols used have usual meaning in a triangle.)

W
The circum-radius of the \( \triangle D E F \) can be equal to
(a) \( \frac{a b c}{8 \Delta} \)
(b) \( \frac{a}{4 \sin A} \)
(c) \( \frac{R}{2} \)
(d) \( \frac{r}{8} \operatorname{cosec} \frac{A}{2} \operatorname{cosec} \frac{B}{2} \operatorname{cosec} \frac{C}{2} \)
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