Answer
The given statement makes sense.
Work Step by Step
The equation of a circle in the standard form is ${{\left( x-h \right)}^{2}}+{{\left( y-k \right)}^{2}}={{r}^{2}}$, where $\left( h,k \right)$ are positive and represent the center of the circle.
However, consider the case when the equation of the circle is ${{\left( x+h \right)}^{2}}+{{\left( y+k \right)}^{2}}={{r}^{2}}$, where $\left( h,k \right)$ are negative and represent the center of the circle.
Now, converting the equation into the standard form, we get ${{\left( x-\left( -h \right) \right)}^{2}}+{{\left( y-\left( -k \right) \right)}^{2}}={{r}^{2}}$.
Therefore, in order to avoid the error when finding $h$ and $k$, parentheses are placed around the numbers that follow the subtraction sign in a circle’s equation.
Thus, the statement makes a sense.
