Out of the following, point ........ lies to the right of the origin on X- axis. (A) (-2,0) (B) (0,2) (C) (2,3) (D) (2,0)

To determine which point lies to the right of the origin on the X-axis, we need to understand the Cartesian coordinate system.

The Cartesian coordinate system is a system used to represent points in a two-dimensional space. It consists of two perpendicular number lines, the X-axis and the Y-axis, intersecting at the origin (0,0). The X-axis represents the horizontal dimension and the Y-axis represents the vertical dimension.

To determine whether a point lies to the right of the origin on the X-axis, we need to look at its X-coordinate value. If the X-coordinate value is positive, then the point lies to the right of the origin. If it is negative, then the point lies to the left of the origin. If the X-coordinate value is zero, then the point is on the origin itself.

Let’s look at the given points one by one:

(A) (-2,0): This point has an X-coordinate value of -2, which is negative. Therefore, it lies to the left of the origin on the X-axis.

(B) (0,2): This point has an X-coordinate value of 0, which means it is on the Y-axis and not on the X-axis.

(C) (2,3): This point has an X-coordinate value of 2, which is positive. Therefore, it lies to the right of the origin on the X-axis.

(D) (2,0): This point has an X-coordinate value of 2, which is positive. Therefore, it lies to the right of the origin on the X-axis.

So, the correct answer is either (C) (2,3) or (D) (2,0), as both points lie to the right of the origin on the X-axis.