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CGP EDU Academic Team
Published on: August 13, 2026
If the roots of the equation x 3 – 11x 2 + 36x – 36 = 0 are in H.P. then the middle root is
Text Solution
Verified by ExpertsThe correct answer is:
C
x 3 – 11x 2 + 36x – 36 = 0
if roots are in H.P. , then roots of new equation
are in A.P.
36x 3 + 36x 2 – 11x + 1 = 0
36x 3 – 36x 2 + 11x –1 = 0
Let the roots be α , β , γ
α+ β + γ = 1
3 β = 1 (2 β , = α + γ )
β = 
so middle roots in 3.
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