Question Number 75276 by vishalbhardwaj last updated on 09/Dec/19
$$\mathrm{Write}\:\mathrm{the}\:\mathrm{formula}\:\mathrm{of}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{if}\:\mathrm{coordinates} \\ $$$$\mathrm{of}\:\mathrm{ends}\:\mathrm{of}\:\mathrm{diameter}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circle}\:\mathrm{are}\:\mathrm{given}\:? \\ $$
Commented by mr W last updated on 09/Dec/19
$$\left({x}−\frac{{x}_{\mathrm{1}} +{x}_{\mathrm{2}} }{\mathrm{2}}\right)^{\mathrm{2}} +\left({y}−\frac{{y}_{\mathrm{1}} +{y}_{\mathrm{2}} }{\mathrm{2}}\right)^{\mathrm{2}} =\frac{\left({x}_{\mathrm{1}} −{x}_{\mathrm{2}} \right)^{\mathrm{2}} +\left({y}_{\mathrm{1}} −{y}_{\mathrm{2}} \right)^{\mathrm{2}} }{\mathrm{4}} \\ $$
Commented by ajfour last updated on 09/Dec/19
$$\left({x}−{x}_{\mathrm{1}} \right)\left({x}−{x}_{\mathrm{2}} \right)+\left({y}−{y}_{\mathrm{1}} \right)\left({y}−{y}_{\mathrm{2}} \right)=\mathrm{0} \\ $$