show-that-every-sphere-through-the-circle-x-2-y-2-2ax-r-2-0-z-0-z-0-cuts-orthogonally-every-sphere-through-the-circle-x-2-z-2-r-2-y-o-

Tinku Tara June 3, 2023 Coordinate Geometry 0 Comments

Question Number 8756 by trapti rathaur@ gmail.com last updated on 25/Oct/16

show that every sphere through the circle x^2 +y^2 −2ax+r^2 =0,z=0 ,z=0 cuts orthogonally every sphere through the circle x^2 +z^2 =r^2 , y=o .

$${show}\:{that}\:{every}\:{sphere}\:{through}\:{the}\:{circle}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{2}{ax}+{r}^{\mathrm{2}} =\mathrm{0},{z}=\mathrm{0} \\ $$$$,{z}=\mathrm{0}\:\:\:\:\:\:\:{cuts}\:{orthogonally}\:{every}\:{sphere}\:{through}\:{the}\:{circle}\: \\ $$$${x}^{\mathrm{2}} +{z}^{\mathrm{2}} ={r}^{\mathrm{2}} ,\:{y}={o}\:. \\ $$

Facebook Tweet Pin

show-that-every-sphere-through-the-circle-x-2-y-2-2ax-r-2-0-z-0-z-0-cuts-orthogonally-every-sphere-through-the-circle-x-2-z-2-r-2-y-o-

Leave a Reply Cancel reply