If `( lambda^2 + 2lambda) x^2 + (lambda + 6) y^2 + lambda^3 z^2 + 4lambda x- (3lambda^2 + 4 ) y+ 2 lambda^3 z + 1 = 0`

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Q 2167180085.     If `( lambda^2 + 2lambda) x^2 + (lambda + 6) y^2 + lambda^3 z^2 + 4lambda x- (3lambda^2 + 4 ) y+ 2 lambda^3 z + 1 = 0` represents a sphere, the centre of sphere is `............` and its radius is `............`
A

` (-1/2 ,1 , -1) ,1/4 sqrt (34)`

B

` (-1/2 ,1 , 1) ,1/4 sqrt (34)`

C

` (-1/2 ,1 , -1) , -1/4 sqrt (34)`

D

` (-1/2 , -1 , 1) ,1/4 sqrt (34)`

HINT


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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