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Find the distance between the pairs of points: (2, 3, 5) and (4, 3, 1) - Mathematics

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Question

Find the distance between the pairs of points:

(2, 3, 5) and (4, 3, 1)

Sum
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Solution

The distance between points P(x1, y1, z1) and P(x2, y2, z2) is given by 

= `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2)`

Distance between points (2, 3, 5) and (4, 3, 1)

= `sqrt((4 - 2)^2 + (3 - 3)^2 + (1 - 5)^2)`

= `sqrt(2^2 + 0^2 + (4)^2)`

= `sqrt(4 + 16)`

= `sqrt20`

= `2sqrt5`

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Chapter 11: Introduction to Three Dimensional Geometry - EXERCISE 11.2 [Page 213]

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NCERT Mathematics [English] Class 11
Chapter 11 Introduction to Three Dimensional Geometry
EXERCISE 11.2 | Q 1. (i) | Page 213

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