   Chapter 12.5, Problem 2E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# CONCEPTSConsider the equation A x 2 + B x y + C y 2 + D x + E y + F = 0 (a) In general, the graph of this equation is a ________ ________ .(b) To eliminate the x y -term from this equation, we rotate the axes through an angle 4. that satisfies cot 2 ϕ = ________ ________ _ _ _ .(c) The discriminant of this equation is ________ ________ .If the discriminant is 0, the graph is a ________ ________ if it is negative, the graph is ________ ________ ;andif it is positive, the graph is ________ ________ .

To determine

(a)

To fill:

The blanks and complete the statement.

Explanation

Given:

The complete statement after filling the blank is “. Consider the equation

Ax2+Bxy+Cy2+Dx+Ey+F=0

In general, the graph of this equation is a ____________

To determine

(b)

To fill:

The blanks and complete the statement.

To determine

(c)

To fill:

The blanks and complete the statement.

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