Chapter 13.6, Problem 2PSA

(a)

To determine

To find: The graph for the give equation.

Answer to Problem 2PSA

The graph for the given equation is shown in Figure 1

Explanation of Solution

Given:

The equation of the circle is $x^2+y^2=9$ .

Calculation:

Consider the formula for the equation of the circle is of the form as,

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

Here, $\left(h,k\right)$ is the centre and $r$ is the radius.

Consider the given equation of the circle is,

  $x^2+y^2=9$

The graph for the given equation is shown in Figure 1

  

Figure 1

(b)

To determine

To find: The graph for the give equation.

Answer to Problem 2PSA

The graph for the given equation is shown in Figure 2

Explanation of Solution

Given:

The equation of the circle is ${\left(x-1\right)}^2+{\left(y+2\right)}^2=16$ .

Calculation:

Consider the formula for the equation of the circle is of the form as,

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

Here, $\left(h,k\right)$ is the centre and $r$ is the radius.

Consider the given equation of the circle is,

  ${\left(x-1\right)}^2+{\left(y+2\right)}^2=16$

The graph for the given equation is shown in Figure 2

  

Figure 2