JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

1 Easy

1 of 1

Application +4 | -1

{p_1},{p_2},{p_3}

are altitudes of a

\Delta \;ABC

drawn from the vertices

A,B,C

and

\Delta

the area of the triangle, then

p_1^{ - 2} + p_2^{ - 2} + p_3^{ - 2}

is equal to

View answer and explanation

Correct option: B

\frac{{{a^2} + {b^2} + {c^2}}}{{4{\Delta ^2}}}

Option B

\frac{{{a^2} + {b^2} + {c^2}}}{{4{\Delta ^2}}}

is correct because it is derived from the relationship between altitudes and the area of the triangle.

More Questions from PROPERTIES OF TRIANGLES

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5k,\;6k,\;5k

k

\Delta \,ABC

a = \left( {b - c} \right)\sec \theta

\frac{{2\,\sqrt {bc} }}{{b - c}}\,\,\sin \,\,\frac{A}{2} =

\Delta \;ABC,\frac{{b + c}}{a}

\Delta = {a^2} - {\left( {b - c} \right)^2}

\Delta

\Delta \;ABC

\tan A

A

2 s

\triangle A B C, r+r_1=r_2+r_3

\angle B>\frac{\pi}{3}