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.