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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: radical axis
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umang (229)

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Is radical axis in IITJEE syllabus ???????

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pink_ele (1156)

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yes it is important.

nobody is wrong
even a stopped clock is right twice a day
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rajat (284)

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oh mman !!!! what is radical axis ??
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pink_ele (1156)

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it is a line from which tangents drawn to two circles are always equal

nobody is wrong
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madhuri_goteti (27)

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yes it is there

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<TR><TD>


<DIV ALIGN="right">Animated Letters</DIV></TD></TR></TABLE>

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magiclko (4205)

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The radical axis of two circles is the locus of all those points frm which two equal tangents can be drawn to the circles.
Few points about it
* The radical axis is always a straight line perpendicular to the line through the centers of the circles.
* If the circles intersect, the radical axis is the line passing through the intersection points,
* if the circles are touching each other, the radical axis is simply the common tangent
 
Thr is one radical axis theorem, which states that the radical axes of three circles (no two of which are concentric) are concurrent (share a common point) or parallel (in this case, they concur at the point of infinity).

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umang (229)

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Hey all !
I had asked my teachers , but they said that its not in syllabus .Pls confirm !!!!!!!!! 

Umang
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umang (229)

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someone pls reply !!!!!

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magiclko (4205)

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umang it is in jee syllabus...!!!

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deep01 (42)

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i have iit-jee syllabus it is not in the syllabus
 
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deep01 (42)

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magiclko pls again explain the theoram clearly as i don't understand it.
 
 
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seagull (0)

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If the length of tangents drawn from point P to 2 circles are equal then the
locus of P is called radical axis of 2 circles
Let the 2 circles be S1=0 & S2=0 then the equation of radical axes is S1-S2=0
i.e. 2(g1-g2)x+2(f1-f2)y+c1-c2=0
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Orloff (168)

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it is there in JEE syllabus...
 
Radical axis is the perpendicular joinig the two centres of the two intersecting circles...    It can even be a common chord or a common tangent of the two circles  
 
  S1 + kS2 = 0 represents a family of cicles..
If k= -1   Then the equation becomes  S- S2 = 0   Which is a equation of line.......  i.e. 
2( g1 - g2 )x + 2 (f1 - f2 )y + c1 - c2 = 0  ........  This line represents the radical axis  Check it in study material also....
 
 
 



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