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JEE Class main Answered

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Asked by g_archanasharma | 15 May, 2019, 17:56: PM
answered-by-expert Expert Answer
y equals fraction numerator 1 over denominator 1 plus x to the power of beta minus alpha end exponent plus x to the power of gamma minus alpha end exponent end fraction plus fraction numerator 1 over denominator 1 plus x to the power of alpha minus beta end exponent plus x to the power of gamma minus beta end exponent end fraction plus fraction numerator 1 over denominator 1 plus x to the power of alpha minus y end exponent plus x to the power of beta minus gamma end exponent end fraction
equals fraction numerator 1 over denominator 1 plus begin display style x to the power of beta over x to the power of alpha end style plus begin display style x to the power of gamma over x to the power of alpha end style end fraction plus fraction numerator 1 over denominator 1 plus begin display style x to the power of alpha over x to the power of beta end style plus begin display style x to the power of gamma over x to the power of beta end style end fraction plus fraction numerator 1 over denominator 1 plus begin display style x to the power of alpha over x to the power of gamma end style plus begin display style x to the power of beta over x to the power of gamma end style end fraction
equals fraction numerator x to the power of alpha over denominator x to the power of alpha plus begin display style x to the power of beta end style plus begin display style x to the power of gamma end style end fraction plus fraction numerator x to the power of beta over denominator x to the power of alpha plus x to the power of beta plus x to the power of gamma end fraction plus fraction numerator x to the power of gamma over denominator x to the power of alpha plus x to the power of beta plus x to the power of gamma end fraction
equals fraction numerator x to the power of alpha plus x to the power of beta plus x to the power of gamma over denominator x to the power of alpha plus x to the power of beta plus x to the power of gamma end fraction equals 1
T h u s comma space fraction numerator d y over denominator d x end fraction equals 0
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