Chord with Given Midpoint for a Circle at Origin
For:
$$x^2+y^2=a^2$$
if the midpoint of the chord is $$(x_1,y_1)$$, then the chord is:
$$xx_1+yy_1=x_1^2+y_1^2$$
Usage
- Used directly when the circle is centred at the origin and the midpoint of the chord is known.