Question

The distance between the points (2, 3) and (4, 1) is

• A. \(2\)
• B. \(\sqrt 2\)
• C. \(3\sqrt 2\)
• D. \(2\sqrt 2\)

Answer 1

The Correct Option is D

To solve the problem, we need to find the distance between the two given points (2, 3) and (4, 1).

1. Understanding the Distance Formula:
The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by:

$ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} $

2. Substituting the Values:
Let $(x_1, y_1) = (2, 3)$ and $(x_2, y_2) = (4, 1)$

$ d = \sqrt{(4 - 2)^2 + (1 - 3)^2} = \sqrt{(2)^2 + (-2)^2} $

3. Simplifying:
$ d = \sqrt{4 + 4} = \sqrt{8} = 2\sqrt{2} $

Final Answer:
The distance between the points is $ \mathbf{2\sqrt{2}} $.