If \( x=r \sin \theta \cos \phi, y=r \sin \theta \sin \phi \) and \( z=r \cos \theta \), then (W...

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If \( x=r \sin \theta \cos \phi, y=r \sin \theta \sin \phi \) and \( z=r \cos \theta \), then
(W)
(a) \( x^{2}+y^{2}+z^{2}=r^{2} \)
(b) \( x^{2}+y^{2}-z^{2}=r^{2} \)
(c) \( x^{2}-y^{2}+z^{2}=r^{2} \)
(d) \( z^{2}+y^{2}-x^{2}=r^{2} \)
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