The coordinates of any point, which lies on $x$ axis are

(0, x, 0)

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(x, 0, 0)

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(x, x, 0)

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(x, x, x)

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Solution

The correct option is B $(x, 0, 0)$
In 3-dimensional plane, the point which lies on $x$ -axis does not have any part in y and z axes.
At that point, the value of $y$ and $z$ will be $0$ .
Hence, coordinate of any point which lies on $x$ axis are $(x, 0, 0)$ .

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Thinking process
(i) Firstly, check whether any coordinate of the given point is zero or not.
(a) If x-coordinate is zero and y-coordinate is non-zero, then the point lies on the y-axis.
(b) If y-coordinate is zero and x-coordinate is non-zero, then the point lies on the x-axis.
(c) If x-coordinate and y-coordinate are zero, the point lies on the origin ( or on both the axes.)
(ii) If none of the coordinates is zero, then the point lies in any one of the four quadrants.

A) On the x-axis
B) In the second quadrant
C) On the y-axis
D) In the fourth quadrant

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The coordinates of any point, which lies on x axis are

The correct option is B (x,0,0)In 3-dimensional plane, the point which lies on x-axis does not have any part in y and z axes.At that point, the value of y and z will be 0.Hence, coordinate of any point which lies on x axis are (x,0,0).

The coordinates of any point, which lies on $x$ axis are

The correct option is B $(x, 0, 0)$
In 3-dimensional plane, the point which lies on $x$ -axis does not have any part in y and z axes.
At that point, the value of $y$ and $z$ will be $0$ .
Hence, coordinate of any point which lies on $x$ axis are $(x, 0, 0)$ .