Question

find the distance between of following pairs of points A(2 3) B(-2 2)​

Answer 1

Answer:

hope you got your answer

Answer 2

Answer- The above question is from the chapter 'Coordinate Geometry'.

Concept used: Distance formula-

$\sqrt{(x_{2} - x_{1})^{2} + (y_{2} -y_{1})^{2}}$

Given question: Find the distance between of following pairs of points- A(2, 3) and B(-2, 2)​.

Solution: Given coordinates are-  A(2, 3) and B(-2, 2)​

Let x₁ = 2

y₁ = 3

x₂ = - 2

y₂ = 2

Using distance formula, we get,

AB = $\sqrt{(x_{2} - x_{1})^{2} + (y_{2} -y_{1})^{2}}$

AB = $\sqrt{(- 2 - 2)^{2} + (2 - 3)^{2}}$

AB = $\sqrt{(- 4)^{2} + (- 1)^{2}}$

AB = $\sqrt{16 + 1}$

AB = $\sqrt{17}$

∴ AB = $\sqrt{17}$ units.