Which of the following conditions is satisfie | vedclass

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(B) In a three-dimensional Cartesian coordinate system,any point $P$ is represented by the coordinates $(x, y, z)$.For a point to lie on the $z$-axis,

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Both $x$ and $y$ coordinates are zero.

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(B) In a three-dimensional Cartesian coordinate system,any point $P$ is represented by the coordinates $(x, y, z)$.For a point to lie on the $z$-axis,its distance from both the $x$-axis and the $y$-axis must be zero.This implies that the $x$-coordinate must be $0$ and the $y$-coordinate must be $0$.Therefore,any point on the $z$-axis is of the form $(0, 0, z)$,where $z$ is any real number.Thus,the condition satisfied is that both $x$ and $y$ coordinates are zero.

Which of the following conditions is satisfied by a point lying on the $z$-axis?

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