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 statistcis
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.
Similar Questions
Find the distance between each pair of points (-9, -1) and (2, 4). Round to the nearest tenth.
Find the distance between the pair of points. Upper E left parenthesis 8 comma negative 3 right parenthesis, Upper F left parenthesis negative 1 comma 9 right parenthesis
Find the distance between the points (–10,9) and (4,9).
Calculate the Euclidean distance between the points (3, 4) and (6, 8).
Find the distance between the points (0, 4) and (4, 7). Type your answer in Blank 1
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.