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If a, g and h are the AM, GM and HM respectively of two positive numbers x and y, then identify the correct statement.

$(a)\;h\;is\;the\;HM\;between\;a\;and\;g\qquad(b)\;a\;is\;the\;AM\;between\;h\;and\;g\qquad(c)\;g\;is\;the\;GM\;between\;a\;and\;h\qquad(d)\;No\;relationships\;exits\;between\;a,g\;and\;h$

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