11. If the arithmetic, geometric an...
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11. If the arithmetic, geometric and harmonic means between two positive real numbers be A, G and H, then 12. (A) A2 = GH (B) HP = AG (C) G=AH (D) G2 = AH If the roots of alb-c)x² + b(c-a)x+C (a - b) = 0 be equal, then a, b, c are in (A) A.P. (B) G.P. (C) H.P. (D) None of these

JEE/Engineering Exams
Maths
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( A=frac{a+b}{2}, quad G=sqrt{a b}, quad H=frac{2 a b}{a+b} ) So ( quad A H=frac{9+6}{2} times frac{296}{9+6}=96=5^{2} ) ( A H=C^{2} )
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