Question
Tue April 14, 2015 By: Sriradha Gupta

Sir, could you please solve this one?
Sir, could you please solve this one, Question no 89592, Mathematics

Expert Reply
Prasenjit Paul
Wed April 15, 2015
a greater than b rightwards double arrow a squared greater than b squared rightwards double arrow a squared minus b squared greater than 0  fraction numerator a squared plus b squared over denominator a squared minus b squared end fraction minus fraction numerator a plus b over denominator a minus b end fraction equals fraction numerator a squared plus b squared over denominator a squared minus b squared end fraction minus fraction numerator open parentheses a plus b close parentheses squared over denominator a squared minus b squared end fraction equals fraction numerator a squared plus b squared minus open parentheses a plus b close parentheses squared over denominator a squared minus b squared end fraction equals fraction numerator a squared plus b squared minus a squared minus b squared minus 2 a b over denominator a squared minus b squared end fraction equals fraction numerator negative 2 a b over denominator a squared minus b squared end fraction less than 0 left square bracket S i n c e space a space a n d space b space a r e space p o s i t i v e space r e a l space n u m b e r s space a n d space a squared minus b squared greater than 0 right square bracket therefore fraction numerator a squared plus b squared over denominator a squared minus b squared end fraction minus fraction numerator a plus b over denominator a minus b end fraction less than 0 fraction numerator a squared plus b squared over denominator a squared minus b squared end fraction less than fraction numerator a plus b over denominator a minus b end fraction H e n c e space P r o v e d
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