Question

Point A = [2,6); B = [5, 10] . Find distance between
A & B. Justify​

Answer 1

Answer:BY distance formula

$\sqrt{[2-5]^2+[6-10]^2}$

$\sqrt{[-3]^2+[-4]^2}$

$\sqrt{[9+16]}$

$\sqrt{[25]}$

5 units

Answer 2

Concept:

Only if we are aware of the coordinates can we utilise the distance formula to determine the distance between any two points. These coordinates may be on the x or y axes, or even on both. Let's imagine that an XY plane contains two points, P and Q. Point P's coordinates are (x₁,y₁) and point Q's coordinates are (x₂,y₂). The following is the formula to get the separation between two points PQ:

D=√((x₁-x₂)²+(y₁-y₂)²)

Or

AB=√((x₁-x₂)²+(y₁-y₂)²)

Given:

A = [2,6); B = [5, 10]

Find:

Find distance between A & B. Justify​

Solution:

By distance formula,

AB=√((x₁-x₂)²+(y₁-y₂)²)

     =√(5-2)²+(10-6)²

       =√3²+4²

        =√125

        =5

Therefore, the distance between A = [2,6); B = [5, 10] is 5

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