Which of the following points is closest to the origin (0, 0)?

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Question: Which of the following points is closest to the origin (0, 0)?

Options:

Correct Answer: (0, 1)

Solution:

The distance from the origin to a point (x, y) is given by √(x² + y²). The point (0, 1) has a distance of 1, which is the smallest.

Which of the following points is closest to the origin (0, 0)?

Which of the following points is closest to the origin (0, 0)?

Step 1: Understand that the origin is the point (0, 0) on a graph.
Step 2: Know that the distance from the origin to any point (x, y) can be calculated using the formula √(x² + y²).
Step 3: Identify the points you want to compare. For example, let's say the points are (0, 1), (1, 1), and (2, 2).
Step 4: Calculate the distance from the origin to each point using the formula.
Step 5: For the point (0, 1), the distance is √(0² + 1²) = √(0 + 1) = √1 = 1.
Step 6: For the point (1, 1), the distance is √(1² + 1²) = √(1 + 1) = √2, which is approximately 1.41.
Step 7: For the point (2, 2), the distance is √(2² + 2²) = √(4 + 4) = √8, which is approximately 2.83.
Step 8: Compare the distances you calculated: 1 (for (0, 1)), approximately 1.41 (for (1, 1)), and approximately 2.83 (for (2, 2)).
Step 9: Determine which distance is the smallest. The smallest distance is 1, which corresponds to the point (0, 1).
Step 10: Conclude that the point closest to the origin is (0, 1).

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