Application of DerivativeHard
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.
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
If 27a + 9b + 3c + d = 0, then the equation 4ax3 + 3bx2 + 2cx + d = 0, has at least one real root lying between-...The normal to the curve √x + √y = √a is perpendicular to x− axis at the point-...The equation of the normal to the curve y2 = x3 at the point whose abscissa is 8, is-...The curve y - exy + x = 0 has a vertical tangent at...The equation of normal to the curve y = ex at the point (0, 1) is-...