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if x= cy+ bz, y=az + cx, z= bx + ay then Prove that x^2 : y^2 : z^2 = 1/a^2

if x= cy+ bz, y=az + cx, z= bx + ay then Prove that x^2 : y^2 : z^2 = 1/a^2 : 1/b^2 : 1/c^2

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