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![[Post New]](/templates/default/images/icon_minipost_new.gif) 21 Feb 2007 12:54:40 IST
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what is the shortest distance between acircle & a parabola
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21 Feb 2007 18:21:41 IST
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shortest distance b/w the circle and parabola is( the distance b/wq the centre and a point on the parabola - radius of the circle)
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will make it BIG! |
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22 Feb 2007 18:56:13 IST
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I hope in this problem circle and parabola are non intersecting.
From centre of circles O, drop normals on parabola.(There can be three such normals). Let it intersect parabola normaly at A1 A2 and A3. Let B1 B2 and B3 be points where circle intersects A1O,A2O and A3O internally.
The shortest distance between circle and parabola will be minimum of (A1B1, A2B2 and A3B3)
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Krishna Gopal Singh
B.Tech Chemical Engg
IIT Delhi 2002
Currently doing PhD from IIT Delhi |
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28 Mar 2007 18:16:53 IST
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Avdesh, could u once again explain what u have written (more clearly)
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28 Mar 2007 18:20:26 IST
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the shortest distance between a point on a parabola and the circle will be along the common normal... get its equation, and find the points at which the normal will intersect the two ... nd find the distance between them
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Manasi....
NIT-Allahabad...
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