Question

Find the centre and radius of the sphere x2 + y2 + z2 + 6x + 8y - 11 = 0​

Answer 1

Answer:

centre=(-3,-4,0)

radius=36

Step-by-step explanation:

x² + y² + z² + 6x + 8y - 11 = 0​

x² + y² + z² + 6x + 8y=11

(x² + y² + z²)=r²

This is the equation of the sphere

x²+6x+y²+8y+z²=11

We have x square terms and x terms

So, convert it into (a+b)²

We have y square terms and y terms

convert it into (a+b)²

(x²+6x+9)+(y²+8y+16)+z²=11+9(1)+16(1)

(x+3)²+(y+4)²+(z)²=36

Centre(a,b,c)

(x-a)²+(y-b)²+(z-c)²=r²

centre=(-3,-4,0)

radius=36

Answer 2

Answer:

Step-by-step explanation: