Question

Is the point (-1,1) on the circle defined by Please check photo

Answer 1

Step 1:

Write the unit circle equation

`\text{\lparen x + 5\rparen}^2\text{ + \lparen y + 2\rparen}^2\text{ = 25}`

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

`\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}`

Final answer

Yes