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If a, b, c are in H.P, Show that \frac{a-b}{b-c}=\frac{a}{c} |
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Answer» a, b, c are in HP so 1/a, 1/b, 1/c are in AP. thus 1/b – 1/a = 1/c – 1/b => (a – b) / ab = (b – c) / bc => (a – b) / (b – c) = ab / bc =>(a – b) / (b – c) = a / c |
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