The conic section is represented by the following equation –5x^2 + 9xy + 5y^2 + 6x – 4y + 11 = 0 is circle.
We have given that the equation of the equation is,
–5x^2 + 9xy + 5y^2 + 6x – 4y + 11 = 0
What is the general formula of the ellipse?
The general formula of the circle is
[tex]ax^2+2xy+by^2+2fx+2gy+c=0[/tex]
Compare the given equation with the general formula of the circle so we get the equation of the circle
Therefore the equation of the circle is –5^+ 9xy + 5y^2 + 6x – 4y + 11 = 0
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