If a $\Delta \;ABC,{\rm{if}}\;{a^4} + {b^4} + {c^4} = 2{c^2}\left( {{a^2} + {b^2}} \right)$, then $\angle C$ is equal to

JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

1 Easy

1 of 1

Analyzing +4 | -1

If a

\Delta \;ABC,\mathrm{if}\;{a^4} + {b^4} + {c^4} = 2{c^2}\left( {{a^2} + {b^2}} \right)

, then

\angle C

is equal to

View answer and explanation

Correct option: B

135^\circ

Option B (

135^\circ

) is correct because it satisfies the given equation when substituting into the cosine rule.

Practice All Chapter MCQs →

{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