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![[Post New]](/templates/default/images/icon_minipost_new.gif) 2 Jul 2008 09:44:37 IST
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If x2+xy+y2=a2 , prove that  +  =0
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2 Jul 2008 09:59:31 IST
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Sir please reply me
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can u say from where u get this question?
i m solving & will post the soln soon.
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2 Jul 2008 10:16:13 IST
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My teacher gave it to me
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2 Jul 2008 10:40:03 IST
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Differentiating both sides wrt to x
2x+x dy/dx +y +2y dy/dx =0
(2x+y) + dy/dx(x+2y)=0
dy/dx = (-2x-y)/(x+2y)..............(1)
Now again differentiating dy/dx wrt x
we get  [3xdy/dx -3y]/ (x=2y)^2
put the value of dy/dx from (1)
u get  -6( )/ (x=2y)^3
put  =a
u get -6a/(x+2y)^3
Put the value in LHS u get Rhs
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