Question

Find the centre of the sphere
x2+y2+z²-2x-4y-6z+5=0

​

Answer 1

Answer:

Step-by-step explanation:

Given, x  

2

+y  

2

+z  

2

−2x+4y+6z+1=0

Centre of the sphere is (1,−2,−3)  and radius =  

1  

2

+2  

2

+3  

2

−1

​  

=  

13

​  

 

Now distance of centre of the sphere from x-axis, y-axis and z-axis are  

2  

2

+3  

2

 

​  

=  

13

​  

,  

1  

2

+3  

2

 

​  

=  

10

​  

 

and  

1  

2

+2  

2

 

​  

=  

5

​  

 respectively.

Clearly, sphere touches x-axis.

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