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![[Post New]](/templates/default/images/icon_minipost_new.gif) 5 Apr 2008 22:13:50 IST
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Radical axis is defined as the locus of all points from where the tangents drawn to the curves are of equal length. Now for 2 intersecting circles how is the radical axis the "common chord" .. since tangents canNOT be drawn to a circle from any points on it's chord?...
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5 Apr 2008 22:28:05 IST
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they can be drawn from the outside
this outside locus of points lies on the common chord extended
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5 Apr 2008 22:29:05 IST
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so the inside part is NOT the radical axis?
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There is no better feeling in this world than being a winner! |
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5 Apr 2008 22:34:37 IST
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yep i believe so.
inside se nahi ho sakta....
only parts of it outside.
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---------------------------------------------------------------
* Gaurav Ragtah ( aka Artemis Fowl )
* Agent 'G' [sniper] - SD-6 (Alliance of Twelve)
* Your friendly neighborhood spideyunlimited |
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6 Apr 2008 12:39:41 IST
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who said that only real tangents are considered in the definition circle ke andar se imaginary tangents ban sakti hain
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"Imagination is more important than knowledge."
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6 Apr 2008 21:20:40 IST
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Hey buddy,
Radical axis is defined as the locus of the point, the powers of which w.r.t two non-concentric circles is equal.
Hope u got it!
~Cheerio!!!
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7 Apr 2008 00:26:19 IST
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yep
lemme explain it to you
let a circle be S1 =x2 + y2 + g1x + f1y + c1 =0 and
S2 = x2 + y2 + g2x + f2y + c2 =0 then
S1 - S2 =0 is the equation of
i) radical axis --for 2 non intersecting circles
ii) common tangent --for circles touching each other
iii) common chord -- for 2 intersecting circles
got it!!
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