Show that the locus of the points from which the tan- gents to the three spheres...

 

 

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Show that the locus of the points from which the tan- gents to the three spheres (x-2)²+y²+2²=1, x²+(y-3)²+z²=6, (x+2)²+(y+1)²+(z-2)² =6 are all equal is the line x|3==y/2=z/7. Find the coordinates of the point on this line from which the length of the tangents to the three spheres is also equal to that of the tangent to the sphere (2x+1)² +4y² +(2z-1)²=6. Show that the locus of the points from which the tan- gents to the three spheres (x-2)²+y²+2²=1, x²+(y-3)²+z²=6, (x+2)²+(y+1)²+(z-2)² =6 are all equal is the line x|3==y/2=z/7. Find the coordinates of the point on this line from which the length of the tangents to the three spheres is also equal to that of the tangent to the sphere (2x+1)² +4y² +(2z-1)²=6.

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Youve shown me two images containing related math problems that involve geometry and algebra The first question asks to show that the locus of points from which tangents to three given spheres are all ... View the full answer