1. If 3 (a^{2} + b^{2} + c^{2} ) = (a + b + c)^{2} , then the relation between a, b and c is





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  • By: anil on 05 May 2019 01.53 am
    Given , 3 (a^{2} + b^{2} + c^{2} ) = (a + b + c)^{2}
    3 (a^{2} + b^{2} + c^{2} )=3 (a^{2} + b^{2} + c^{2}) +2[ab+bc+ca]
    2 (a^{2} + b^{2} + c^{2} )= +2[ab+bc+ca]
    (a^{2} + b^{2} + c^{2} )= [ab+bc+ca]
    (a^{2} -ab) + (b^{2} -bc) + (c^{2} -ca) = 0
    a(a-b) + b(b-c) + c(c-a) = 0
    This is only possible when a=b=c .

    [u][s]
    [/s][/u]




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MCQ-> The broad scientific understanding today is that our planet is experiencing a warming trend over and above natural and normal variations that is almost certainly due to human activities associated with large-scale manufacturing. The process began in the late 1700s with the Industrial Revolution, when manual labor, horsepower, and water power began to be replaced by or enhanced by machines. This revolution, over time, shifted Britain, Europe, and eventually North America from largely agricultural and trading societies to manufacturing ones, relying on machinery and engines rather than tools and animals.The Industrial Revolution was at heart a revolution in the use of energy and power. Its beginning is usually dated to the advent of the steam engine, which was based on the conversion of chemical energy in wood or coal to thermal energy and then to mechanical work primarily the powering of industrial machinery and steam locomotives. 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