Two circles centered at (2,3) and (4,7) intersect each other. If their radii are equal, then the equation of their common chord is ?
- 2x + y = 15
- X – y = 9
- X + y = 8
- X+2y=13
- -2x + y = 5
- 2x + y = 15
- X – y = 9
- X + y = 8
- X+2y=13
- -2x + y = 5
1 Answer
Explanation:
As shown in the figure,
Given that the circles' radii are equal,
We know that the line joining the center of a circle and the midpoint of a chord is perpendicular to the chord,
Let
As the product of the slopes of two perpendicular lines is
Equation of a line that passes through