The equation is displaystyle{16}{x}^{2}+{9}{y}^{2}-{98}{x}+{5}{y}+{224}={0}



Answered question


The equation is 16x2+9y298x+5y+224=0

Answer & Explanation



Skilled2020-11-23Added 106 answers

All conic section can be written in the general form
The conic section represented by an equation in general form can be determine the coefficient.
If coefficient is B24AC<0,B=0andA=C, then its equation of circle.
If coefficient is B24AC<0,B0orAC, then its equation of ellipse
If coefficient is B24AC>0, then its equation of hyperbola
If coefficicent is B24AC=0, then its equation of ellipse
To find value of B24AC
Compare general equation with given equation
Here A=16,B=0,C=9,D=98,E=5andF=224
Here B24AC<0,andAC
Therefore ,the given equation as an ellipse.

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