Find the distance between the following pairs of points: (i) (2, 3), (4, 1) 10th class statistcis
Question
Find the distance between the following pairs of points:
(i) (2, 3), (4, 1)
10th class statistics
Solution
Sure, I can help with that. The distance between two points in a 2D plane can be calculated using the distance formula derived from Pythagoras' theorem. The distance d between two points (x1, y1) and (x2, y2) is given by:
d = sqrt[(x2-x1)² + (y2-y1)²]
Let's apply this formula to your problem:
(i) For the points (2, 3) and (4, 1), we have:
x1 = 2, y1 = 3, x2 = 4, y2 = 1
So, the distance d is:
d = sqrt[(4-2)² + (1-3)²] d = sqrt[(2)² + (-2)²] d = sqrt[4 + 4] d = sqrt[8] d = 2*sqrt[2]
So, the distance between the points (2, 3) and (4, 1) is 2*sqrt[2] units.
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