Chapter 10: Q 20. (page 677)

In Problem, identify the graph of each equation without completing the squares.
$2 x^{2} + 2 y^{2} - 8 x + 8 y = 0$

Short Answer

Expert verified

The graph is of a circle.

Step by step solution

Step 1. Given information

The equation is $2 x^{2} + 2 y^{2} - 8 x + 8 y = 0$ .

Step 2. Identify the graph.

Consider the equation $2 x^{2} + 2 y^{2} - 8 x + 8 y = 0$ .

Compare this equation with equation $A x^{2} + C y^{2} + D x + E y + F = 0$ .

$\begin{array}{rcl} A & = & 2 \\ C & = & 2 \\ A C & = & 2 (2) \\ = & 4 \\ > & 0 \end{array}$

So, the equation represents a circle.

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In Problem, identify the graph of each equation without completing the squares.
$2 x^{2} + 2 y^{2} - 8 x + 8 y = 0$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the graph.

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In Problem, identify the graph of each equation without completing the squares.2x2+2y2-8x+8y=0

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Statistics

Pure Maths

Decision Maths

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In Problem, identify the graph of each equation without completing the squares.
$2 x^{2} + 2 y^{2} - 8 x + 8 y = 0$