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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1
If a,x,ba, x, b are in A.P., a,ya, y, bb are in G.P. and a,z,ba, z, b are in H.P. such that x=9zx=9 z and a>0,b>0a > 0, b > 0, then
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Correct option: A
∣y∣=3z|y|=3 z and x=3∣y∣x=3|y|
Option A (∣y∣=3z|y| = 3z and x=3∣y∣x = 3|y|) is correct because it follows from the relationships between arithmetic, geometric, and harmonic means.

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