CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

In $$\Delta$$ $$ABC$$ the sides opposite to angles $$A, B, C$$ are denoted by $$a, b, c$$ respectively.
If $$\displaystyle a, \: b, \: c \:$$ are in Geometric Progression then :


A
cot2A,cot2B,cot2C are in G. P.
loader
B
cosec2A,cosec2B,cosec2C are in A. P.
loader
C
cosecA,cosecB,cosecC are in G. P.
loader
D
none of these
loader

Solution

The correct option is D $$\displaystyle cosec A, \: cosec B, \: cosec C \:$$ are in G. P.
From Sine Rule, 

$$acosecA=bcosecB=ccosecC$$

To satisfy the above condition
if $$a,b,c$$ are in $$GP$$ then $$cosecA,cosecB,cosecC$$ have to be in $$GP$$

Therefore, $$C$$ is correct

Maths

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image