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Integral Calculus

Cool goIITian

Joined:	2 Nov 2008
Post:	41

7 Dec 2008 00:53:34 IST

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find the differential eqn of all the circles in 1st quad touchin the coordinate axis

Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Integral Calculus

find the differential eqn of all the circles in 1st quad touchin the coordinate axis

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aditi garg

Scorching goIITian

Joined: 2 Nov 2007

Posts: 288

8 Dec 2008 23:04:44 IST

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the general equation wud be
(x-a)^2 + (y-a)^2 = a^2...........(1)
differentiate it both sides
ull get
(x-a)+(y-a)y'=0
find the value of a frm this eqn
=>a= (yy'+x)/(1+y')
substitute in eqn 1) ull get the ans...

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