If $\Delta ABC,{\rm{if}}a = 3,b = 4,c = 5$, then the value of $\sin 2B$ is

JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

1 Easy

1 of 1

Application +4 | -1

\Delta ABC,\mathrm{if}a = 3,b = 4,c = 5

, then the value of

\sin 2B

View answer and explanation

Correct option: C

24/25

Option C (

\frac{{24}}{{25}}

) is correct because it is the result of correctly applying the double angle formula for sine,

\sin 2B = 2 \sin B \cos B

, after finding

\sin B

and

\cos B

using the given side lengths.

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