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The number of integer values of k for wh...

The number of integer values of k for which the equation `x^2 +y^2+(k-1)x-ky+5=0` represents a circle whose radius cannot exceed 3 is

Text Solution

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`x^2+y^2+2gx+2fy+c=0`
where centre`=(-g,-f)`
`r=sqrt(f^2+g^2-c)`
`2g=k-1`
`g=(k-1)/2`
`2f=-k`
`f=-k/2`
`c=5`
...
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