Question

HEZ Find the distance between the following pairs of points : (ii) (-5,7),(-1,3) (iii) (a, b),(-,- b) i) (2, 3), (4,1)​

Answer 1

Answer:

The distance between the two points can be measured using the distance formula which is given by:

Distance Formula = √ [(x₂ - x₁)2 + (y₂ - y₁)2]

(i) Let the points be A(2, 3) and B(4, 1)

Therefore, x₁ = 2, y₁ = 3, x₂ = 4, y₂ = 1

We know that the distance between the two points is given by the distance formula

Distance Formula = √[(x₂ - x₁)2 + (y₂ - y₁)2]

Therefore, the distance between A(2, 3) and B(4, 1) is given by

d = √[(4 - 2)2 + (1 - 3)2]

= √4 + 4

= √8

= 2√2

(ii) Distance between (- 5, 7) and (- 1, 3) is given by

d = √[( -1 + 5 )2 + (3 - 7)2]

= √16 + 16

= √32

= 4√2

(iii) Distance between (a, b) and (- a, - b) is given by

d = √(-a - a)2 + (-b - b)2

d = √(-2a)2 + (-2b)2

d = 2 √(a2 + b2)

☛ Check: NCERT Solutions for Class 10 Maths Chapter 7