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If x^2+y^2-2x+2a y+a+3=0 represents the ...

If `x^2+y^2-2x+2a y+a+3=0` represents the real circle with nonzero radius, then find the values of `a`.

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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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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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