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JEE Advance - Mathematics (1983 - No. 48)

The ex-radii $${r_1},{r_2},{r_3}$$ of $$\Delta $$$$ABC$$ are H.P. Show that its sides $$a, b, c$$ are in A.P.
Sides a, b, c are in Arithmetic Progression (A.P.)
Sides a, b, c are in Geometric Progression (G.P.)
Sides a, b, c are in Harmonic Progression (H.P.)
Sides a, b, c are equal
The triangle is degenerate

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