The distance from the point (-2,3) to the center of the circle defined by the equation x² + 2x + y² - 2y - 3 = 0 is calculated using the distance formula. The center of the circle is confirmed to be at the coordinates (-1,1). The distance is computed as √((-1+2)² + (1-3)²), resulting in a definitive distance of √5. Additionally, it is confirmed that the point (-2,3) is not on the circle.
PREREQUISITESStudents studying geometry, mathematics educators, and anyone needing to understand the relationship between points and circles in a coordinate plane.
What's you question?nukeman said:Homework Statement
Find the distance from the point (-2,3) to the centre of the circle x^2 + 2x + y^2 - 2y - 3 = 0
Homework Equations
The Attempt at a Solution
The circle, I calculated that the center point is (-1,1) is that correct?
Then, I just input it into the distance formula: √((-1+2)^2 + (1 - 3)^2 )
?
Yes, to both questions.nukeman said:Homework Statement
Find the distance from the point (-2,3) to the centre of the circle x^2 + 2x + y^2 - 2y - 3 = 0
Homework Equations
The Attempt at a Solution
The circle, I calculated that the center point is (-1,1) is that correct?
Then, I just input it into the distance formula: √(-1+2)^2 + (1 - 3)^2
?