JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

1 Easy

1 of 1

Application +4 | -1

If in the

\Delta \;ABC,\;\angle B = 45^\circ

, then

{a^4} + {b^4} + {c^4}

is equal to

View answer and explanation

Correct option: C

2{b^2}\left( {{a^2} + {c^2}} \right)

Option C (

2{b^2}({{a^2} + {c^2}})

) is correct because by applying the cosine rule with

\angle B = 45^\circ

, we can derive the relationship

{a^4} + {b^4} + {c^4} = 2{b^2}({{a^2} + {c^2}})

More Questions from PROPERTIES OF TRIANGLES

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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