circle

how to find the equation of the diameter of a circle when a circle is given whose equation is x² + y²+ 12x +6y +10 =0??

4 Answers

only method i can think of is

first find the center

then by hit and trial find one point lying on the circle

let this be A and let O be the center of the circle

now form equation of AO and find where it intersects the circle

let this be B

now u have AB is one diameter of the circle

so find its equation

any more suggestions?

if the center is h,k

then the diameter is

(y-k)+p(x-h)

for all values of p..\\

Reason (think of family of straight lines :)

yes sir, is correct it is based upon the family concept of straight lines.

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