Chapter 1: Q 6. (page 50)

The center of the circle ${(x + 3)}^{2} + {(y - 2)}^{2} = 13$ is $(3, - 2)$

Short Answer

Expert verified

False

Step by step solution

Step 1. Given information

An equation of a circle is $(x + 3)^{2} + (y - 2)^{2} = 13$ .

Step 2. State whether the statement is true or false.

The standard form of an equation of a circle $(x - h)^{2} + (y - k)^{2} = r^{2}$

has a radius $r$ and center $(h, k)$ .

Thus, in the equation $(x + 3)^{2} + (y - 2)^{2} = 13$

has the radius $\sqrt{13}$ and center $(- 3, 2)$ .

Therefore, the statement is false.

The center is not $(3, - 2)$ but $(- 3, 2)$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

The center of the circle ${(x + 3)}^{2} + {(y - 2)}^{2} = 13$ is $(3, - 2)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. State whether the statement is true or false.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Decision Maths

Calculus

Probability and Statistics

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

The center of the circle x+32+y-22=13is3,-2

Short Answer

Step by step solution

Step 1. Given information

Step 2. State whether the statement is true or false.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Decision Maths

Calculus

Probability and Statistics

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

The center of the circle ${(x + 3)}^{2} + {(y - 2)}^{2} = 13$ is $(3, - 2)$