Application of DerivativeMedium
Question
Let α, β, γ be the roots of the equation x3 + 3ax2 + 3bx + c = 0. If α, β, γ are in H.P. then β is equal to -
Options
A.- c/b
B.c/b
C.-a
D.a
Solution
α + β + γ = - 3a, αβγ = - c
αβ + βγ + γα = 3b ⇒
⇒
(∵ α, β, γ in H.P.)
αβ + βγ + γα = 3b ⇒
⇒
(∵ α, β, γ in H.P.)Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
The equation of normal to the curve x2 + y2 = a2 at the point is-...If = an3 + bn2 + cn, then find the value of a + b + c....If f(x) = ; g(x) = where 0 < x < 1, then...The set of values of p for which the extremum of the function f(x) = x3 - 3 px2 + 3 (p2 - 1) x + 1 lie in the interval (...If first and (2n - 1)th terms of an A.P., G.P. and H.P. are equal and their nth terms are a, b, c respectively, then -...