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Determine whether the following statement makes sense or does not make sense and explain your reasoning. It is noticed that depending on the values for

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Determine whether the following statement makes sense or does not make sense and explain your reasoning. It is noticed that depending on the values for A and C, assuming that they are not both zero, the graph of Ax" + Cy + Dx + Ey + F =0 can represent any of the conic sections. Choose the correct answer below. A. The statement makes sense. If the values of A and C are equal, the equation can be divided by A, making the coefficients of the x and y"-terms 1. So, this equation represents a circle. If one of A or C is zero, then AC = 0, which eliminates either of the x and y -terms. So, this equation represents a parabola. If A # C and AC 0, this means A and C, and alternatively x" and y"-terms have the same sign. So, this equation represents an ellipse. O B. The statement makes sense. If the values of A and C are equal, the equation represents a circle. If the values of A and C are not equal, the equation represents an ellipse. If one of A or C is zero, the equation represents a parabola. The statement does not make sense because the type of the conic section represented by the equation Ax" + Cy" + Dx + Ey + F =0 depends on the values of D, E, and F, and not A and C. D. The statement does not make sense because regardless of the values of A and C, the equation Ax" + Cy + Dx + Ey + F =0 does not represent any conic

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