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Analytical Geometry

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Joined:	24 Oct 2008
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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

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Sagar Saxena

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Joined: 8 Oct 2008

Posts: 8064

31 Aug 2009 20:34:22 IST

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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

nalin

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Joined: 24 Oct 2008

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1 Sep 2009 19:51:00 IST

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

Nitish dangwal

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Joined: 17 May 2012

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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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