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Question

Find the equation of the circle which circumscribes the triangle formed by the lines x=0,y=0 and lx+my=1.

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Solution

The triangle is formed by
x=0 (i)y=0 (ii)
lx+my=1 (iii)
The line (iii) cuts the axis at
A=(0,1m),and at B(1l,0)
Now, AB will be the diameter of circle.
equation of circle will be,
(x1l)(x0)+(y0)(y1m)=0x2+y2xlym=0


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