Application of DerivativeMedium
Question
If a, b, c are positive numbers in G.P. and log 
, log 
and log 
are in A.P., then a, b, c forms the sides of a triangle which is -
, log and log are in A.P., then a, b, c forms the sides of a triangle which is -Options
A.equilateral
B.right angled
C.isosceles
D.none of these
Solution
We have b2 = ac .........(i)
and 2log
= log 
+ log 
=
⇒ 3 log
= ⇒ b = 
c ........(ii)
From (i) & (ii), we have a =
Now, We have b + c =
= a
Hence a, b, c cannot form the sides of a triangle.
and 2log
= log + log =
⇒ 3 log
= ⇒ b = c ........(ii)From (i) & (ii), we have a =
Now, We have b + c =
= aHence a, b, c cannot form the sides of a triangle.
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