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If a ,b ,c ,da n dp are distinct real nu...

If `a ,b ,c ,da n dp` are distinct real numbers such that `(a^2+b^2+c^2)p^2-2(a b+b c+c d)p+(b^2+c^2+d^2)lt=0,` then prove that `a ,b ,c , d` are in G.P.

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