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Find the equation of the circle which pa...

Find the equation of the circle which passes through (1, 0) and (0, 1) and has its radius as small as possible.

Text Solution

Verified by Experts

The radius will be miniumum if the given points are the endpoints of a diameter.
Then, the equation of the circle is
`(x-1)(x-0)+(y-0)(y-1)=0`
or ` x^(2)+y^(2)-x-y=0`
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