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CGP EDU Academic Team
Published on: August 14, 2026
If A, G & H are respectively the A.M., G.M. & H.M. of three positive numbers a, b, & c, then the equation whose roots are a, b, & c is given by :
Text Solution
Verified by ExpertsThe correct answer is:
B
AM = A = 
; GM = G = (abc) 1/3
HM = H = 
= 
.
Equation whose roots are a,b,c ⇒ x 3 –(a + b + c)x 2 + ( Σ ab)x –abc = 0
⇒ x 3 – 3Ax 2 + 
.x –G 3 = 0 Ans
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