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CBSE Class 12-science Answered

  if x = a(1 + t2/ 1 – t2) and y = 2t/(1-t2), find dy/dx explain in great detail
Asked by haroonrashidgkp | 13 Aug, 2018, 09:00: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight x equals straight a open parentheses fraction numerator 1 plus straight t squared over denominator 1 minus straight t squared end fraction close parentheses dx over dt equals straight a open parentheses fraction numerator open parentheses 1 minus straight t squared close parentheses open parentheses 2 straight t close parentheses minus open parentheses 1 plus straight t squared close parentheses open parentheses negative 2 straight t close parentheses over denominator open parentheses 1 minus straight t squared close parentheses squared end fraction close parentheses straight y equals fraction numerator 2 straight t over denominator 1 minus straight t squared end fraction dy over dt equals 2 open parentheses fraction numerator open parentheses 1 minus straight t squared close parentheses minus open parentheses straight t close parentheses open parentheses negative 2 straight t close parentheses over denominator open parentheses 1 minus straight t squared close parentheses squared end fraction close parentheses dy over dx equals fraction numerator 2 open parentheses fraction numerator open parentheses 1 minus straight t squared close parentheses minus open parentheses straight t close parentheses open parentheses negative 2 straight t close parentheses over denominator open parentheses 1 minus straight t squared close parentheses squared end fraction close parentheses over denominator straight a open parentheses fraction numerator open parentheses 1 minus straight t squared close parentheses open parentheses 2 straight t close parentheses minus open parentheses 1 plus straight t squared close parentheses open parentheses negative 2 straight t close parentheses over denominator open parentheses 1 minus straight t squared close parentheses squared end fraction close parentheses end fraction equals 2 over straight a cross times fraction numerator open parentheses 1 minus straight t squared close parentheses minus open parentheses straight t close parentheses open parentheses negative 2 straight t close parentheses over denominator open parentheses 1 minus straight t squared close parentheses open parentheses 2 straight t close parentheses minus open parentheses 1 plus straight t squared close parentheses open parentheses negative 2 straight t close parentheses straight t end fraction equals fraction numerator 2 open parentheses 1 plus straight t squared close parentheses over denominator 4 at end fraction end style
Answered by Arun | 14 Aug, 2018, 11:15: AM

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