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Analytical Geometry

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Joined: 3 Jan 2012
Post: 3
7 Jan 2012 20:45:56 IST
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circles (ex-23.1,15
Mathematics

Find the equation of the circles touching y-axis at(0,3) and making an intercept of 8 units on x-axis .


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Cool goIITian

Joined: 30 May 2010
Posts: 48
7 Jan 2012 21:03:18 IST
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Use concept of family of circles.x^2+(y-3)^2+kx=0 is the equation for the family of circles touching y-axis at (0,3).now this circle has intercept of length 8 on x-axis.in general notation this is sqrt(g^2-c)=8.g=k/2,c=9
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Blazing goIITian

Joined: 27 Dec 2010
Posts: 1474
8 Jan 2012 14:22:23 IST
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actually sourav you are incorrect.

the formula for the intercept is

2*sqrt[g^2 - c].

not sqrt[g^2 - c].

 


New kid on the Block

Joined: 3 Jan 2012
Posts: 3
26 Feb 2012 19:42:20 IST
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i cant understand??????????



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