If a, b, c are in continued proportion, prove that
(a² + ab +b²): (b²+ bc + c²) = a:c
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If b is the mean proportional between a and c, prove that a2 – b2 + c2/a-2 – b-2 + c-2 = b4. If a sin θ + b cos θ = c , then prove that a cos θ - b sin θ = the whole under root a2 + b2 - c2
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