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

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Question

Find the distance between the following pairs of points:

(2, –1, 3) and (–2, 1, 3)

Sum

Solution

The distance PQ between the points P(2, -1, 3) and Q(-2, 1, 3) is

PQ = `sqrt((-2 -2)^2 + (1 + 1)^2 + (3 - 3)^2)`

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

= `sqrt(16 + 4 + 0)`

= `sqrt20`

= `2sqrt5`

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Chapter 12: Introduction to Three Dimensional Geometry - Exercise 12.2 [Page 273]

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NCERT Mathematics [English] Class 11
Chapter 12 Introduction to Three Dimensional Geometry
Exercise 12.2 | Q 1.4 | Page 273

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