find-the-equation-of-the-sphere-which-touches-the-plane-3x-2y-z-2-0-at-the-point-1-2-1-and-cuts-orthogonally-the-the-sphere-x-2-y-2-z-2-4x-6y-4-0-

Tinku Tara June 3, 2023 Coordinate Geometry 0 Comments

Question Number 8755 by trapti rathaur@ gmail.com last updated on 25/Oct/16

find the equation of the sphere which touches the plane 3x+2y−z+2=0 at the point (1,−2,1) and cuts orthogonally the the sphere x^2 +y^2 +z^2 −4x+6y+4=0

$${find}\:{the}\:{equation}\:{of}\:{the}\:{sphere}\:{which}\:{touches}\:{the}\:{plane}\: \\ $$$$\mathrm{3}{x}+\mathrm{2}{y}−{z}+\mathrm{2}=\mathrm{0}\:{at}\:{the}\:{point}\:\left(\mathrm{1},−\mathrm{2},\mathrm{1}\right)\:{and}\:{cuts}\:{orthogonally}\:{the} \\ $$$${the}\:{sphere}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} −\mathrm{4}{x}+\mathrm{6}{y}+\mathrm{4}=\mathrm{0} \\ $$

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find-the-equation-of-the-sphere-which-touches-the-plane-3x-2y-z-2-0-at-the-point-1-2-1-and-cuts-orthogonally-the-the-sphere-x-2-y-2-z-2-4x-6y-4-0-

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