JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

1 Easy

1 of 1

Analyzing +4 | -1

{p_1},\,\,{p_2},\,\,{p_3}

are altitude of a triangle

ABC

from the vertices

A,\,\,B,\,\,C

and

\Delta

, the area of the triangle, then

\frac{1}{{p_1^2}} + \frac{1}{{p_2^2}} + \frac{1}{{p_3^2}} =

View answer and explanation

Correct option: A

\frac{{\cot \,\,A + \cos \,\,B + \cot \,\,C}}{\Delta }

Option A is correct because it correctly relates the altitudes of a triangle to its area and cotangents of its angles.

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A

2 s