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It is known that a circle passes through the coordinate origin and point P (1,1), and the center of the circle is on the line 2x + 3Y + 1 = 0
According to the intersection property of straight line and circle, the center of circle is on the perpendicular x + Y-1 = 0 of point O (0,0) and point P (1,1), and then according to the center of circle on the straight line 2x + 3Y + 1 = 0, the coordinates of center C are (4, - 3), so the radius r = | OC | = 5, so the equation of circle is (x-4) 2 + (y + 3) 2 = 25
RELATED INFORMATIONS
- 1. Find the equation of circle C whose center is on the line y = 2x and passes through the origin and point m (3,1)
- 2. Find the equation of circle C whose center is on the line y = 2x and passes through the origin and point m (3,1)
- 3. Given that the equation of circle is (x-1) + (Y-1) = 1, the coordinates of point P are (2,3), the tangent equation of point P is obtained urgent
- 4. Given the equation of the circle and the coordinates of P point, find the tangent equation of the circle passing through P point. (1) (x + 2) 2 + (Y-3) 2 = 13, P (1,5); (2) x2 + y2 = 9, P (3,4)
- 5. It is known that the equation of circle C is (x-1) 2 + (Y-1) 2 = 1, and the coordinates of point P are (2,3). The tangent equation and tangent length of the circle with point P are obtained
- 6. The equation for finding the tangent line of the circle X & # 178; + Y & # 178; = 25 in the direction of point a (5,15)
- 7. The tangent equation of a point P (- - 3,4) over a circle X & # 178; + Y & # 178; = 25 is I found that my answer is different from the answer. I don't know which one is wrong. So I need a process answer, please
- 8. The tangent equation of a circle whose point passes through a point P (- 4, - 3) on the circle X & # 178; + Y & # 178; = 25 is
- 9. Find the tangent equation of the circle X & # 178; + Y & # 178; = 4 passing through point (3,0)
- 10. Through point a (4, - 3), make the tangent of circle C (x-3) &# 178; + (Y-1) &# 178; = 1, and find the formula of this tangent Through point a (4, - 3), make the tangent of circle C (x-3) &# 178; + (Y-1) &# 178; = 1, and find the equation of the tangent
- 11. By knowing that the center of circle C is on the straight line L: x-2y-1 = O and passes through the origin and a (2,1), the equation of circle C is obtained
- 12. Find the equation of circle C with the center of circle C on the straight line y = 2x and passing through the origin O and point m (3,1)
- 13. Find the equation of the circle whose center is on the straight line y = - 2x and passes through the origin bar and point a (2, - 1)
- 14. It is known that a circle passes through the coordinate origin and point P (1,1), and the center of the circle is on the line 2x + 3Y + 1 = 0
- 15. If the circle C passes through the coordinate origin and the center of the circle is on the straight line y = - 2x + 3, the equation of the circle with the minimum radius is obtained
- 16. Find the equation of the circle passing through the coordinate origin and point P (1,1), and the center of the circle on the line 2x + 3Y + 1 = 0 How do you work out the equation of the vertical bisector?
- 17. Find the equation of the circle passing through the intersection point and coordinate origin of the circle x ^ 2 + y ^ 2 = 1 and x ^ 2 + y ^ 2-4x + 2 = 0
- 18. Find the equation of circle with chord length m and N on X and Y axis
- 19. The equation of a circle passing through two points P (2,4) and Q (3, - 1) with a segment length of 6 on the x-axis is
- 20. Find the equation of the circle with the length of the line segment of 3 through the origin and a (1,1) on the x-axis