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Analytical Geometry

New kid on the Block

 Joined: 24 Oct 2008 Post: 13
31 Aug 2009 20:03:29 IST
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The locus of the centres of circles of radius r, in the same plane, passing through a fixe
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Analytical Geometry

The locus of the centres of all circles of radius r, in the same plane, passing through a fixed point is??please illustrate if possible

Blazing goIITian

Joined: 8 Oct 2008
Posts: 8064
31 Aug 2009 20:34:22 IST
0 people liked this

hello dear

let teh general equation of a circle is ::

(x-g)^2  +  (y-f)^2  = r^2

let the fixed point is ::  (h,k)

hence put  the fixed point in the given equation of circle and put g = x and f = y  u will get the answer

New kid on the Block

Joined: 24 Oct 2008
Posts: 13
1 Sep 2009 19:51:00 IST
1 people liked this

hey i am a 9th class guy. though i think its something like this. it will become circle of radius 2r. please confirm

New kid on the Block

Joined: 17 May 2012
Posts: 1
17 May 2012 13:45:23 IST
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ya grt illustration , but locus would be a circle of radius r. . .as the centre of circle of radius r is at r. .

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