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Mathematics

The point (0, 0) lies on :

  1. x-axis

  2. y-axis

  3. x-axis or y-axis

  4. x-axis and y-axis both

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Answer

The axes are two perpendicular lines (x-axis and y-axis) that intersect at the origin. The point (0,0), known as the origin, lies on both the x-axis and the y-axis because:

  • The x-coordinate of (0,0) is 0, which satisfies the condition for a point on the y-axis.

  • The y-coordinate of (0,0) is 0, which satisfies the condition for a point on the x-axis.

Thus, the point (0,0) lies on both the x-axis and y-axis.

Hence, option 4 is the correct option.

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