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Home » Find the distance between the following pairs of points: (i) P(1, -1, 0) and Q (2, 1, 2) (ii) A(3, 2, -1) and B (-1, -1, -1)
Find the distance between the following pairs of points: (i) P(1, -1, 0) and Q (2, 1, 2) (ii) A(3, 2, -1) and B (-1, -1, -1)
CBSE | Class 11 | Exercise 28.2 | Introduction to Three Dimensional Coordinate Geometry | Maths | RD Sharma
Find the distance between the following pairs of points: (i) P(1, -1, 0) and Q (2, 1, 2) (ii) A(3, 2, -1) and B (-1, -1, -1)

(i) 

    \[P\left( 1,\text{ }-1,\text{ }0 \right)\text{ }and\text{ }Q\text{ }\left( 2,\text{ }1,\text{ }2 \right)\]

Given:

The points

    \[P\left( 1,\text{ }-1,\text{ }0 \right)\text{ }and\text{ }Q\text{ }\left( 2,\text{ }1,\text{ }2 \right)\]

By using the formula,

The distance between any two points

    \[\left( a,\text{ }b,\text{ }c \right)\text{ }and\text{ }\left( m,\text{ }n,\text{ }o \right)\]

is given by,

RD Sharma Solutions for Class 11 Maths Chapter 28 – image 5

∴ The Distance between

    \[P\text{ }and\text{ }Q\text{ }is\text{ }3\text{ }units\]

(ii) 

    \[A\text{ }\left( 3,\text{ }2,\text{ }-1 \right)\text{ }and\text{ }B\text{ }\left( -1,\text{ }-1,\text{ }-1 \right)\]

Given:

The points

    \[A\text{ }\left( 3,\text{ }2,\text{ }-1 \right)\text{ }and\text{ }B\text{ }\left( -1,\text{ }-1,\text{ }-1 \right)\]

By using the formula,

The distance between any two points

    \[\left( a,\text{ }b,\text{ }c \right)\text{ }and\text{ }\left( m,\text{ }n,\text{ }o \right)\]

is given by,

RD Sharma Solutions for Class 11 Maths Chapter 28 – image 6

    \[=\text{ }5\]

∴ The Distance between

    \[A\text{ }and\text{ }B\text{ }is\text{ }5\text{ }units\]

i

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