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Pair of Lines

Find the equa...

Question

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

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Solution

points got on x axis and y axis as A(4,0) and B(0.3)
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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