Question:medium

The equation of a sphere is $3x^{2}+3y^{2}+3z^{2}+12x+18y+24z+30=0.$ The centre and radius of sphere, respectively, are:

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Always ensure the coefficients of $x^2, y^2,$ and $z^2$ are equal to 1 before identifying $u, v,$ and $w$. If they are not 1, divide the entire equation by that coefficient first.
Updated On: May 20, 2026
  • (3, 2, 4) and $\sqrt{29}$
  • (3, -2, -4) and $\sqrt{19}$
  • (-3, 2, -4) and $\sqrt{29}$
  • $(-2, -3, -4)$ and $\sqrt{19}$
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The Correct Option is D

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