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Analytical Geometry

Blazing goIITian

Joined:	13 Jul 2007
Post:	547

20 Oct 2007 12:08:07 IST

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Circles - iit jee 2005 mains question

None

Circles with radii 3, 4, 5 touch each other externally. If P is the point of intersection of tangents to these circle at their points of contact, find the distance of P from the points of contact.

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Rahul

Blazing goIITian

Joined: 13 Jul 2007

Posts: 547

22 Oct 2007 12:49:10 IST

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each reply will be rated

'',' Off to a nu start!!

Blazing goIITian

Joined: 13 Jan 2007

Posts: 1289

22 Oct 2007 12:58:59 IST

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use radical axis funda...u will get d answer.....:-

let the centre of these circles be

(h1,k1) , (h2,k2) , (h3,k3)

form eqns...e.g :-
(x-h1)^2 + (y-k1)^2 = 9 etc..

find radical axis of any two pairs......

find their pt. of intersectiion...& staisfy it in the 3rd radical axis...

u will get some relation.....then its easy...aplly distance fromulae..........:))

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