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Solution of Triangle

If the median...

Question

If the median AD of a triangle ABC is perpendicular to AB then the value of tan A+ 2tan B

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Solution

The correct option is A
0

If we apply m-n rule in $△ A B C$ we get $(1 + 1) c o t (90^{o} + B) = 1. c o t 90^{o} - 1. c o t (A - 90^{o})$
$- 2 t a n B = c o t (90^{o} - A)$
$- 2 t a n B = t a n A$
$\Rightarrow t a n A + 2 t a n B = 0$

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