Hushar Mulga
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Find the distance between each of the following pairs of points. A(2, 3), B(4, 1)

Practice Set 5.1 Co-ordinate Geometry

Find the distance between each of the following pairs of points. A(2, 3), B(4, 1)

Solutuion:- To find the distance between two points in a plane, we use the distance formula: $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ where d is the distance between the points $(x_1, y_1)$ and $(x_2, y_2)$. For the points $A(2, 3)$ and $B(4, 1)$, we have: $$d = \sqrt{(4 - 2)^2 + (1 - 3)^2} = \sqrt{2^2 + (-2)^2} = \sqrt{8} = 2\sqrt{2}$$ Therefore, the distance between points A and B is $$2\sqrt{2}$$ units.

Solution:- 

o find the distance between two points in a plane, we use the distance formula:

d = √((x2 – x1)² + (y2 – y1)²)

where d is the distance between the points (x1, y1) and (x2, y2).

For the points A(2, 3) and B(4, 1), we have:

d = √((4 – 2)² + (1 – 3)²) = √(2² + (-2)²) = √8 = 2√2

Therefore, the distance between points A and B is 2√2 units.