Three positive distinct numbers x, y, z ...

Three positive distinct numbers x, y, z are three terms of geometric progression in an order and the numbers x + y, y + z, z + x are three terms of arithmetic progression in that order. Prove that `x^x . y^y = x^y . Y^z . Z^x`.

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MOTION-SEQUENCE & SERIES -Exercise -4 Level -II Previous Year /JEE Advanced

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