In a triangle $A B C,(a+b+c)(b+c-a)=k b c$ if

JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

1 Easy

1 of 1

Application +4 | -1

In a triangle

A B C,(a+b+c)(b+c-a)=k b c

View answer and explanation

Correct option: C

0 < {k} < 4

Option C (

0 < {k} < 4

) is correct because the given equation can be transformed using trigonometric identities to show that

k

lies between 0 and 4.

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{p_1},{p_2},{p_3}

\Delta \;ABC

A,B,C

\Delta

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

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