Question

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⏺ Find the equation of the circle passing through(0,0) and making intercepts a and b on the coordinate axis.

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Answer 1

method to solve this question is

assume a general equation of circle that is

A.x^2 + a.y^2 + 2gx + 2hy + c = 0

in above equation v have 3 variables A , g and h

and v have 3 points too to find out these variables

the points are (0,0) ; (a,0) ; (0,b)

from here u will get 3 equations....solve these equations to find out the value of respective variables...

hope it is helpful.....

Answer 2

The equation of the circle passing through(0,0) and making intercepts a and b on the coordinate axis is

=> x² + y² -ax -by = 0