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If the median AD of triangle ABC makes a...

If the median AD of triangle ABC makes an angle `pi/4` with the side BC, then find the value of `|cotB-cotC|dot`

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By `m -n` theorem,
`(BD + DC) cot.(pi)/(4) = DC cot B - BD cot C`
`rArr |cot B - cot C| = 2`
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