Question

the equation of sphere is praxis care + Y square + b square minus x + 8 - 2=0
its radius is​

Answer 1

ANSWER

Equation of the sphere is, 2x2+2y2+2z2−8x+12y−16z+8=0 find its centre and radius.

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VIDEO EXPLANATION



ANSWER

Equation of sphere is 2x2+2y2+2z2−8x+12y−16z+8=0

⇒x2+y2+z2−4x+6y−8z+4=0.....(1)

Compare the equation (1) by general equation of sphere

x2+y2+z2+2ux+2vy+2wz+d=0

∵2u=−4∴u=−2

∵2v=6∴v=3

∵2w=−8∴w=−4

d=4

∴ Centre of sphere will be =(−u,−v

Explanation:

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