Chapter 11: Q3 (page 782)

Graph the equation: $x^{2} + y^{2} = 9$

Short Answer

Expert verified

The required graph of given equation $x^{2} + y^{2} = 9$ is as following :-

Step by step solution

Step 1. Given Information

We have given the following equation :-

$x^{2} + y^{2} = 9$

We have to graph this equation.

Firstly we will convert this equation to a general form, then graph it.

Step 2. Compare with general form

The given equation is :-

$x^{2} + y^{2} = 9$

This equation is of the form ${(x - h)}^{2} + {(y - k)}^{2} = r^{2}$ , that is the equation of the circle, where $(h, k)$ is the center of the circle and $r$ is the radius.

We can write the given equation as following :-

${(x - 0)}^{2} + {(y - 0)}^{2} = 3^{2}$

Now compare this with above general equation of circle, then we have :-

role="math" $h = 0, k = 0 a n d r = 3$ .

That is we have to graph a circle with center at origin $(0, 0)$ of radius $3$ .

Step 3. Graph the circle

Now draw a circle with center at origin $(0, 0)$ of radius $3$ units as following :-

This is the required graph.

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Graph the equation: $x^{2} + y^{2} = 9$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Compare with general form

Step 3. Graph the circle

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Graph the equation:x2+y2=9

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Compare with general form

Step 3. Graph the circle

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Discrete Mathematics

Decision Maths

Pure Maths

Theoretical and Mathematical Physics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Graph the equation: $x^{2} + y^{2} = 9$