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Question: The exradii r<sub>1</sub>, r<sub>2</sub>, r<sub>3</sub> of DABC are in H.P., then its sides a, b, c ...

The exradii r1, r2, r3 of DABC are in H.P., then its sides a, b, c are in –

A

G.P.

B

H.P.

C

A. P.

D

None of these

Answer

A. P.

Explanation

Solution

r1, r2, r3 are in H. P.

Ž = + 1r3\frac { 1 } { r _ { 3 } }

Ž = +

Ž 2s – 2b = 2s – a – c

Ž 2b = a + c

Ž a, b, c are in A.P.