A line segment joining \( (1,0,1) \) and the origin \( (0,0,0) \) is revolved about the \( x \)-...

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A line segment joining \( (1,0,1) \) and the origin \( (0,0,0) \) is revolved about the \( x \)-axis to form a right circular cone. If \( (x, y, z) \) is any point on the cone, other than the origin, then it satisfies the equation
(A) \( x^{2}-2 y^{2}-z^{2}=0 \)
(B) \( x^{2}-y^{2}-z^{2}=0 \)
(C) \( 2 x^{2}-y^{2}-2 z^{2}=0 \)
(D) \( x^{2}-2 y^{2}-2 z^{2}=0 \)
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