Solution
Step 1:
Write the unit circle equation
[tex]\text{\lparen x + 5\rparen}^2\text{ + \lparen y + 2\rparen}^2\text{ = 25}[/tex]
Step 2:
To determine if the point (-1,1) on the circle defined by unit circle, substitute x = -1 and y = 1, if the result is 25, then the point (-1,1) on the circle is defined by the equation.
Step 3
[tex]\begin{gathered} \text{\lparen x + 5\rparen}^2\text{ + \lparen y + 2\rparen}^2\text{ = 25} \\ (-1\text{ + 5\rparen}^2\text{ + \lparen1 + 2\rparen}^2 \\ 4^2\text{ + 3}^2 \\ 16\text{ + 9} \\ 25 \end{gathered}[/tex]
Final answer
Yes
