If the coordinates of points A and B are (1, 2) and (4, 6) respectively, what is

₹0.0

Question: If the coordinates of points A and B are (1, 2) and (4, 6) respectively, what is the distance AB?

Options:

Correct Answer: 5

Solution:

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

If the coordinates of points A and B are (1, 2) and (4, 6) respectively, what is the distance AB?

If the coordinates of points A and B are (1, 2) and (4, 6) respectively, what is the distance AB?

Step 1: Identify the coordinates of points A and B. Point A is (1, 2) and point B is (4, 6).
Step 2: Use the distance formula, which is Distance = √((x2 - x1)² + (y2 - y1)²). Here, (x1, y1) are the coordinates of point A and (x2, y2) are the coordinates of point B.
Step 3: Substitute the coordinates into the formula. So, x1 = 1, y1 = 2, x2 = 4, and y2 = 6.
Step 4: Calculate (x2 - x1) which is (4 - 1) = 3.
Step 5: Calculate (y2 - y1) which is (6 - 2) = 4.
Step 6: Now square both results: (3)² = 9 and (4)² = 16.
Step 7: Add the squared results together: 9 + 16 = 25.
Step 8: Take the square root of the sum: √25 = 5.
Step 9: The distance AB is 5.

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