Application of DerivativeHard
Question
If 
= 0 and a, b, c are not in A.P., then -
= 0 and a, b, c are not in A.P., then -Options
A.a, b, c are in G.P.
B.a, b/2, c are in A.P.
C.a, b/2, c are in H.P.
D.a, 2b, c are in H.P.
Solution
Given 
= 0
⇒
= 0
⇒ (a + c - 2b)
= 0
As a + c - 2b ≠ 0
⇒
i.e. a, 2b, c are in H.P.
= 0⇒
= 0⇒ (a + c - 2b)
= 0As a + c - 2b ≠ 0
⇒
i.e. a, 2b, c are in H.P.
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
If the line ax + by + c = 0 is a normal to the curve xy = 1, then...The rate of change of the volume of a cone with respect to the radius of its base is-...The abscissa of the point on the curve √xy = a + x, the tangent at which cuts off equal intercepts from the co-ord...If a, b > 0 and ᐃ (x) = , then -...If f(x) = a{a|x|sin x}; g(x) = a[a|x|sin x] for a > 1, a ≠ 1and x ∈ R, where { } & [ ] denote the fractio...