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What is the distance between the points (1, 2) and (4, 6)?

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Question: What is the distance between the points (1, 2) and (4, 6)?

Options:

  1. 5
  2. 3
  3. 4
  4. 6

Correct Answer: 5

Solution: 

Distance = √[(4-1)² + (6-2)²] = √[9 + 16] = √25 = 5.

What is the distance between the points (1, 2) and (4, 6)?

Practice Questions

Q1
What is the distance between the points (1, 2) and (4, 6)?
  1. 5
  2. 3
  3. 4
  4. 6

Questions & Step-by-Step Solutions

What is the distance between the points (1, 2) and (4, 6)?
Correct Answer: 5
  • Step 1: Identify the coordinates of the two points. The first point is (1, 2) and the second point is (4, 6).
  • Step 2: Use the distance formula, which is Distance = √[(x2 - x1)² + (y2 - y1)²]. Here, (x1, y1) is (1, 2) and (x2, y2) is (4, 6).
  • Step 3: Calculate the difference in the x-coordinates: x2 - x1 = 4 - 1 = 3.
  • Step 4: Calculate the difference in the y-coordinates: y2 - y1 = 6 - 2 = 4.
  • Step 5: Square the differences: (3)² = 9 and (4)² = 16.
  • Step 6: Add the squared differences together: 9 + 16 = 25.
  • Step 7: Take the square root of the sum: √25 = 5.
  • Step 8: The distance between the points (1, 2) and (4, 6) is 5.
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