JEE MainMathematicsModerate

In a $\Delta$ ABC (with usual notations) if ex-radii r_1, r_2,
r_3 are in H.P then $\frac{a + c}{b}$ is

Show answer and solution

\frac{1}{r_{1}},\frac{1}{r_{2}},\frac{1}{r_{3}}

are in A.P.

\frac{s - a}{\Delta},\frac{s - b}{\Delta},\frac{s - c}{\Delta}

are
in A.P.
a, b, c are in A.P.

\boxed{2b = a + c}

Source: Grass-G / M-24 Mathematics Paper 31 Dec.docx

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