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Question
The distance between the points (0, 5) and (–3, 1) is ______.
Options
8 units
5 units
3 units
25 units
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Solution
The distance between the points (0, 5) and (–3, 1) is 5 units.
Explanation:
Let be point A(0, 5) and B(–3, 1)
x1 = 0, y1 = 5, x2 = –3, y2 = 1
Distance between the points
AB = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`
AB = `sqrt((-3 - 0)^2 + (1 - 5)^2`
= `sqrt(9 + 16)`
= `sqrt(25)`
= 5 units
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