JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

1 Easy

1 of 1

Analyzing +4 | -1

Let

\frac{{\sin A}}{{\sin B}} = \frac{{\sin (A - C)}}{{\sin (C - B)}}

, where

A,B

and

C

are angles of a

\Delta ABC

. If the lengths of the sides opposite these angles are

a,b

and

c

repectively, then

View answer and explanation

Correct option: B

{b^2},{c^2}\,\,\,\mathrm{and}\,\,\,{a^2}

are in AP

Option C (

{b^2},{c^2}\,\,\,\mathrm{and}\,\,\,{a^2}

are in AP) is correct because the given condition leads to the relationship

2c^2 = a^2 + b^2

, which defines an 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