Let \( A B C \) be an acute triangle with \( B C=a, C A=b \) and \( A B=c \), where \( a \neq b \neq c \). From any point ' \( p \) ' inside \( \triangle A B C \) let \( D, E, F \)
\( \mathrm{P} \) denote foot of perpendiculars from ' \( P \) ' onto the sides \( B C, C A \) and \( A B \), respectively. Now, answer the following questions.
W.
All positions of point ' \( P \) ' for which \( \triangle D E F \) is isosceles lie on
(a) the incircle of \( \triangle A B C \)
(b) line of internal angle bisectors from \( A, B \) and \( C \)
(c) arcs of 3 circles
(d) None of the above
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