JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1

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

are respectively the perpendicular from the vertices of a triangle to the opposite sides, then

{p_1}{p_2}{p_3}

is equal to

View answer and explanation

Correct option: D

\frac{{{a^2}{b^2}{c^2}}}{{8{R^2}}}

Option D (

\frac{{{a^2}{b^2}{c^2}}}{{8{R^2}}}

) is correct because the product of the perpendiculars from the vertices to the opposite sides can be expressed in terms of the sides and the circumradius of the triangle.

More Questions from PROPERTIES OF TRIANGLES

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{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 If the sides of the triangles are

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

and radius of incircle is 6, the value of

k

is equal to In a

\Delta \,ABC

, if

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

, then

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

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

is equal to If

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

, where

\Delta

is the area of

\Delta \;ABC

, then

\tan A

is equal to If

A

is the area and

2 s

is the sum of the sides of a triangle, then