In \( \triangle A B C, I \) is the incentre. Area of \( \triangle I...

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In \( \triangle A B C, I \) is the incentre. Area of \( \triangle I B C, \triangle I A C \) and \( \triangle I A B \) are, respectively, \( \Delta_{1}, \Delta_{2} \) and \( \Delta_{3} \). If the values of \( \Delta_{1}, \Delta_{2} \) and
\( \mathrm{P} \) \( \Delta_{3} \) are in A.P., then the altitudes of the \( \triangle A B C \) are in

W
(1) A.P.
(2) G.P.
(3) H.P.
(4) None of these
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