# find the equation of the circle drawn on the intercept made by the line 3x+4y=12 between the coordinate axes as diameter

As AB has to be the diameter, its mid point i.e (2, 3/2) is the centre. Radius = diameter AB/2

Radius = √[(3^2 + 4^2)] /2 = 5/2

So equation of circle

**(x - 2)^2 + (y - 3/2)^2 = 25/4**

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