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Home / Doubts and Solutions/JEE/Mathematics

Ques5

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Asked by rbhatt16 22nd June 2018, 6:49 PM
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Answer:
begin mathsize 16px style straight x cubed plus straight y cubed equals straight a cubed 3 straight x squared plus 3 straight y squared dy over dx equals 0 dy over dx equals fraction numerator negative straight x squared over denominator straight y squared end fraction........ left parenthesis straight i right parenthesis Slope space of space tangent space at space open parentheses straight x subscript 0 comma straight y subscript 0 close parentheses space is space fraction numerator negative straight x subscript 0 squared over denominator straight y subscript 0 squared end fraction........ left parenthesis ii right parenthesis The space tangent space passes space through space space open parentheses straight x subscript 1 comma straight y subscript 1 close parentheses space slope space of space tangent space is space also fraction numerator straight y subscript 1 minus straight y subscript 0 over denominator straight x subscript 1 minus straight x subscript 0 end fraction........ left parenthesis iii right parenthesis Equationg space two space slopes space and space simplifying space further fraction numerator straight y subscript 1 minus straight y subscript 0 over denominator straight x subscript 1 minus straight x subscript 0 end fraction equals fraction numerator negative straight x subscript 0 squared over denominator straight y subscript 0 squared end fraction straight x subscript 1 over straight x subscript 0 plus straight y subscript 1 over straight y subscript 0 equals negative 1 end style
Answered by Expert 25th June 2018, 12:11 PM
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