Question

1. Find the distance between the following pairs of points : (i) (2, 3), (4,1)
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Answer 1

Answer:

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Step-by-step explanation:

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

Answer 2

Answer:

2√2

Step-by-step explanation:

distance between two points (x1, y1) and (x2, y2) is √(x1-x2)²+(y1-y2)²

(1)distance between (2,3) and (4,1)is =√(2-4)²+(3-1)²

=√(-2)²+(2)² = √4+4 = √8 =2√2.

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