JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

1 Easy

1 of 1

Application +4 | -1

In a

\Delta ABC

, if

\tan \frac{A}{2} = \frac{5}{6},\tan \frac{C}{2} = \frac{2}{5}

, then

View answer and explanation

Correct option: D

a,b,c

are in AP

Option A (

a,b,c

are in AP) is correct because given the values of

\tan \frac{A}{2}

and

\tan \frac{C}{2}

, we can derive that

2b = a + c

, which means

a, b, c

are in arithmetic progression.

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