Determine whether the statement, 'I noticed that depending on the values for A and C, assuming that they are not both zero, the graph of Ax^{2} + Cy^{2} + Dx + Ey + F = 0 can represent any of the conic sections', makes sense or does not make sense, and explain your reasoning.

Emily-Jane Bray

Emily-Jane Bray

Answered question

2020-10-21

Determine whether the statement, 'I noticed that depending on the values for A and C, assuming that they are not both zero, the graph of Ax2+Cy2+Dx+Ey+F=0 can represent any of the conic sections', makes sense or does not make sense, and explain your reasoning.

Answer & Explanation

AGRFTr

AGRFTr

Skilled2020-10-22Added 95 answers

Given, assuming that both A and C are non-zero, then the graph of Ax2+Cy2+Dx+Ey+F=0 can represents any of the conic sections. We have to check whether the statement is true of not. Since the general form of the conic is Ax2+Cy2+Dx+Ey+F=0 If both A and C are zero then the equation of the section becomes linear which is a contradiction. The equation of a conic section is quadratic. Hence if the values of A and B are non-zero then the graph of Ax2+Cy2+Dx+Ey+F=0 can represent any of the conic sections. Hence the statement is true.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?