If `x^2+y^2-2x+2a y+a+3=0`
represents the real circle with nonzero radius, then find the values of
`a`.
Text Solution
Verified by Experts
For circle `x^(2)+y^(2)-2x+2a+a+3=0` , we have `g= -1,f=a` and `c=a+3` For real circle with nonzero radius, or `1+a^(2)-(a+3)gt0` or `a^(2)-a-2gt0` or `(a-2)(a+1)gt0` i.e., `alt -1` or `a gt 2`
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