Chapter 11: Q.180E (page 1135)

In the following exercises, graph each equation.
${(x + 2)}^{2} + {(y - 5)}^{2} = 4$

Short Answer

Expert verified

Graph of the given equation will be a circle.

Step by step solution

Identification of the shape of the conic

From the equation given,

${(x + 2)}^{2} + {(y - 5)}^{2} = 4$

Highest degree of both the variables is 2.

Therefore, equation will represent a circle.

Find the center and the radius of the circle.

Compare this equation with the standard equation of a circle.

${(x - h)}^{2} + {(y - k)}^{2} = r^{2}$

Here, $(h, k)$ is the center and $r$ is the radius.

By comparing the equation with,

${(x + 2)}^{2} + {(y - 5)}^{2} = 2^{2}$

Center of the circle role="math" localid="1645387192654" $\to (- 2, 5)$

Radius of the circle $\to 2$

Graph the equation

Graph of the circle will be,

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In the following exercises, graph each equation.
${(x + 2)}^{2} + {(y - 5)}^{2} = 4$

Short Answer

Step by step solution

Identification of the shape of the conic

Find the center and the radius of the circle.

Graph the equation

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In the following exercises, graph each equation.(x+2)2+(y-5)2=4

Short Answer

Step by step solution

Identification of the shape of the conic

Find the center and the radius of the circle.

Graph the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Logic and Functions

Geometry

Mechanics Maths

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, graph each equation.
${(x + 2)}^{2} + {(y - 5)}^{2} = 4$