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![[Post New]](/templates/default/images/icon_minipost_new.gif) 30 Mar 2008 14:25:54 IST
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wats the approach to find common Tangents to given curves,,????? for eg (x-3)2 + y2 =9 & y2=4x wat will be common tangent$ to given curves
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PIYUSH MADAN |
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30 Mar 2008 14:36:26 IST
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cm on help me out of this!!!!!!!!!!!!!!
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PIYUSH MADAN |
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30 Mar 2008 15:05:32 IST
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differentiating eqns. finding the slope eqns of the tangents will be equal
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Here I am this is ME!!...and there's no where else on earth I'd rather be!!!!!! |
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30 Mar 2008 15:06:03 IST
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hope that made sense
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Here I am this is ME!!...and there's no where else on earth I'd rather be!!!!!! |
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30 Mar 2008 15:13:21 IST
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just assume a line y=mx + c..
now this line has one solution with circle as well as parabola..
equate the slope equations of tangent of both get teh slope and thus the line..
eq. for circle.. y= m(x-3) + 3root{1+m^2}..
eq. for parabola.
y= mx + a/m..
equate the constant (intercept)..get m..
1/m = 3root{1+m^2} - 3m..
now solve ./.put m in any of the eq. get the line..
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Don't Dream ..Do the dream...
Rock On ....
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31 Mar 2008 11:55:17 IST
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Perfect answer decoder. It might be difficult to solve this equation but general approach should be like this only.
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Krishna Gopal Singh
B.Tech Chemical Engg
IIT Delhi 2002
Currently doing PhD from IIT Delhi |
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