Ellipse is represented by the equation [tex]3x^2+2y^2-24x+30=0[/tex].
From the given equation [tex]3x^2+2y^2-24x+30=0[/tex], the coefficients of [tex]x^2[/tex] and [tex]y^2[/tex] are 3 and 2. That are different from each other. So it can either be an ellipse or hyperbola.
Then note that the sign between [tex]x^2[/tex] and [tex]y^2[/tex] is "+". This means it is an ellipse.
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