Whether the statement “I noticed that depending on the values for Aand B assuming that they are not both zero, the graph of Ax^2 + By^2 = C can represent any of the conic sections other than a parabola” “makes sense” or “does not make sense”, And explain your reasoning.

Emeli Hagan 2021-02-13 Answered
Whether the statement “I noticed that depending on the values for Aand B assuming that they are not both zero, the graph of Ax2+By2=C can represent any of the conic sections other than a parabola” “makes sense” or “does not make sense”, And explain your reasoning.
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Viktor Wiley
Answered 2021-02-14 Author has 84 answers
Consider the equation, Ax2+By2=C When A and B both appear are on the same side and have coefficients with opposite sign, the equation is that of a hyperbola. So the equation of hyperbola is Ax2+By2=C When A and B both appear are on the same side and have coefficients with same sign, the equation is that of an ellipse. So the equation of ellipse is Ax2+By2=C. When A and B terms both appear are on the same side and are equal, the equation is that of a circle. So the equation of circle is Ax2+By2=C Hence the statement “I noticed that depending on the values for A and B assuming that they are not both zero, the graph of Ax2+By2=C can represent any of the conic sections other than a parabola.” Make sense. Conclusion: The equation of parabola must have either x2ory2 term.
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