JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

1 Easy

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Application +4 | -1

In a

\Delta \;ABC,\;a,\;c\;,\;A

are given and

{b_1},{b_2}

are two values of third side

b

such that

b = 2{b_1}

. Then,

\sin A

is equal to

View answer and explanation

Correct option: B

\sqrt {\frac{{9{a^2} - {c^2}}}{{8{c^2}}}}

Option B (

\sqrt {\frac{{9{a^2} - {c^2}}}{{8{c^2}}}}

) is correct because it is derived from the quadratic equation formed using the Law of Cosines and the given relationship between the two possible values of the third side.

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