Question

find the distance between point (3.6) and (0.2)​

Answer 1

I hope it will be helpful

Answer 2

Correct question:-

Find the distance between point (3,6) and (0,2)

Given:-

• A(x₁, y₁) = (3, 6)
• B(x₂, y₂) = (0, 2)

Answer:-

We have to use distance formula to solve this problem.

Distance formula says that,

▪distance between two points A(x₁, y₁) and B(x₂, y₂) = √[ (x₂ - x₁)² + (y₂ - y₁)² ]

Putting the values as,

• x₁ = 3
• x₂ = 0
• y₁ = 6
• y₂ = 2

So,

Distance between (3, 6) and (0, 2) = √[ (0 - 3)² + (2 - 6)² ]

→ Distance between (3, 6) and (0, 2) = √[ (-3)² + (-4)² ]

→ Distance between (3, 6) and (0, 2) = √[ 9 + 16 ]

→ Distance between (3, 6) and (0, 2) = √[25]

→ Distance between (3, 6) and (0, 2) = ± 5

Considering only positive value,

→Distance between (3, 6) and (0, 2) = 5 Ans.

Other formulae:-

• If P(α, β) intersects AB with A(x₁, y₁) and B(x₂, y₂) in the ratio m : n, then,

▪α = (mx₂ + nx₁)/(m + n)

▪β = (my₂ + ny₁)/(m + n)

• If If P(α, β) is the midpoint of AB with A(x₁, y₁) and B(x₂, y₂) then,

▪α = (x₁ + x₂)/2

▪β = (y₁ + y₂)/2