Determine the distance between the points (1, 2) and (4, 6). (2022)

₹0.0

Question: Determine the distance between the points (1, 2) and (4, 6). (2022)

Options:

Correct Answer: 5

Exam Year: 2022

Solution:

Using the distance formula: d = √[(4 - 1)² + (6 - 2)²] = √[9 + 16] = √25 = 5.

Determine the distance between the points (1, 2) and (4, 6). (2022)

Determine the distance between the points (1, 2) and (4, 6). (2022)

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 d = √[(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.

Distance Formula – The distance between two points in a Cartesian plane is calculated using the formula d = √[(x2 - x1)² + (y2 - y1)²].