In the circle x2 + y2 = 9, the trajectory equation of the midpoint of the moving chord of known point P (1,2) is_________

In the circle x2 + y2 = 9, the trajectory equation of the midpoint of the moving chord of known point P (1,2) is_________

Let the coordinates of the midpoint of the moving chord be a (x, y)
Then the line Ao between a and the center O (0,0) must be perpendicular to AP
The slope of AP is: (Y-2) / (x-1)
The slope of Ao is: (y-0) / (x-0)
So: [(Y-2) / (x-1)] [(y-0) / (x-0)] = - 1
y(y-2)+x(x-1)=0
X & sup2; + Y & sup2; - 2y-x = 0

Elden Ring Premiere

RELATED INFORMATIONS