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.
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