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Write the axis on which the given point ...

Write the axis on which the given point lies.
(i) (2, 0) (ii) `(0, -5)` (iii) `(-4, 0)` (d) (0, -1)

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The correct Answer is:
To determine the axis on which each point lies, we need to analyze the coordinates of each point. The general rule is: - A point of the form (x, 0) lies on the **x-axis** because its y-coordinate is 0. - A point of the form (0, y) lies on the **y-axis** because its x-coordinate is 0. Now, let's analyze each point step by step. ### Step-by-Step Solution: 1. **Point (2, 0)**: - The coordinates are (2, 0). - Here, the y-coordinate is 0. - Therefore, this point lies on the **x-axis**. 2. **Point (0, -5)**: - The coordinates are (0, -5). - Here, the x-coordinate is 0. - Therefore, this point lies on the **y-axis**. 3. **Point (-4, 0)**: - The coordinates are (-4, 0). - Here, the y-coordinate is 0. - Therefore, this point lies on the **x-axis**. 4. **Point (0, -1)**: - The coordinates are (0, -1). - Here, the x-coordinate is 0. - Therefore, this point lies on the **y-axis**. ### Final Answer: - (i) (2, 0) lies on the **x-axis**. - (ii) (0, -5) lies on the **y-axis**. - (iii) (-4, 0) lies on the **x-axis**. - (iv) (0, -1) lies on the **y-axis**.
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