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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

Find the distance between the following pair of points (3, 4) and (−7, 2) - Mathematics

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Question

Find the distance between the following pair of points

(3, 4) and (−7, 2)

Sum

Solution

Distance between the points (3, 4) and (−7, 2)

= `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`

= `sqrt((-7 - 3)^2 + (2 - 4)^2`

= `sqrt((-10)^2 + (-2)^2`

= `sqrt(100 + 4)`

= `sqrt(104)`

= `sqrt(2 xx 2 xx 13)`

= `2sqrt(26)  "units"`

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Co-ordinates of Points and Distance
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Chapter 5: Coordinate Geometry - Exercise 5.2 [Page 202]

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Samacheer Kalvi Mathematics [English] Class 9 TN Board
Chapter 5 Coordinate Geometry
Exercise 5.2 | Q 1. (ii) | Page 202
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