JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Analyzing +4 | -1

Consider the following statements :

1. If in a

\Delta\; ABC,\frac{{\sin A}}{{\sin C}} = \frac{{\sin \left( {A - B} \right)}}{{\sin \left( {B - C} \right)}}

, then

{a^2},{b^2},{c^2}

are in AP

2. If exradius

{r_1},{r_2}

and

{r_3}

of a

\Delta ABC

are in HP, then the sides

a,b,c

are in AP

Which of these is/are correct?

View answer and explanation

Correct option: C

Both (1) and (2)

Option C (Both (1) and (2)) is correct because both statements regarding the relationships between angles/sides and exradii/sides in a triangle are true.

More Questions from PROPERTIES OF TRIANGLES

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{p_1},{p_2},{p_3}

are altitudes of a

\Delta \;ABC

drawn from the vertices

A,B,C

and

\Delta

the area of the triangle, then

p_1^{ - 2} + p_2^{ - 2} + p_3^{ - 2}

is equal to If the sides of the triangles are

5k,\;6k,\;5k

and radius of incircle is 6, the value of

k

is equal to In a

\Delta \,ABC

, if

a = \left( {b - c} \right)\sec \theta

, then

\frac{{2\,\sqrt {bc} }}{{b - c}}\,\,\sin \,\,\frac{A}{2} =

\Delta \;ABC,\frac{{b + c}}{a}

is equal to If

\Delta = {a^2} - {\left( {b - c} \right)^2}

, where

\Delta

is the area of

\Delta \;ABC

, then

\tan A

is equal to If

A

is the area and

2 s

is the sum of the sides of a triangle, then