JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

1 Easy

1 of 1

Application +4 | -1

In a

\Delta \;ABC

, if

\sin A + \sin B + \sin C)\left( {\sin A + \sin B - \sin C} \right) = 3\sin A\sin B

, then the angle

C

is equal to

View answer and explanation

Correct option: B

\frac{\pi }{3}

Option B (

\frac{\pi }{3}

) is correct because using sine rule and cosine rule, the given equation simplifies to

\cos C = \frac{1}{2}

, which implies

C = \frac{\pi }{3}

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