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The circle C : x^(2) + y^(2) + kx + (1 +...

The circle `C : x^(2) + y^(2) + kx + (1 + k)y – (k + 1) = 0` passes through two fixed points for every real number k. Find.
(i) the coordinates of these two points.
(ii) the minimum value of the radius of a circle C.

Text Solution

Verified by Experts

The correct Answer is:
(1, 0) & (1/2, 1/2) ; `r = (1)/(2sqrt(2))`
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