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If the equation p x^2+(2-q)x y+3y^2-6q x...

If the equation `p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0` represents a circle, then find the values of `pa n dqdot`

Text Solution

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In the equation of circle, the xy term does not occur and the coefficients of `x^(2)` and `y^(2)` are equal. Therefore,
`2-q=0` or `q=2`
and `p=3`
Also, for these values of p and q, the circle is real.
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