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 .


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

$s h o w t h a t e v e r y s p h e r e t h r o u g h t h e c i r c l e x^{2} + y^{2} - 2 a x + r^{2} = 0, z = 0$ $, z = 0 c u t s o r t h o g o n a l l y e v e r y s p h e r e t h r o u g h t h e c i r c l e$ $x^{2} + z^{2} = r^{2}, y = o .$
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