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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Circles - iit jee 2005 mains question
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rhd92781 (686)

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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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rhd92781 (686)

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<TABLE CELLSPACING="1" CELLPADDING="1" BORDER="0">
<TR><TD>


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

I am only one,
But still I am one.
I cannot do everything,
But still I can do something;
And because I cannot do everything
I will not refuse to do the something that I can do.
- Edward Everett Hale
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shubham_sachdeva (1876)

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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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