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Sarita Math

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Sep 23, 2012, 5:47:40 AM9/23/12

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9. Show that the point of intersection of the curve 2y3 - 2x2y - 4xy2 + 4x3 -14xy + 6y2 +4x2 + 6y + 1=0 and its asymptotes lie on the line 8x+2y+1=0. how to prove it.

Ans. http://books.google.co.in/books?id=4wOfJzIZI_wC&pg=PA120&lpg=PA120&dq=point+of+intersection+of+a+curve+and+its+asymptotes&source=bl&ots=gzyjG0lppl&sig=Wc888MEGu591DA2BsOKxKlp0bkg&hl=en&sa=X&ei=e9VeUMLZMcrLrQfv0oCoAQ&ved=0CDcQ6AEwAw#v=onepage&q=point%20of%20intersection%20of%20a%20curve%20and%20its%20asymptotes&f=false

Go to page 118. This problem has been solved there. If possible, please read the theory part also.

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