Question

The distance between the two points (2, 3) and (4, 1) will be

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

Hint:

Always apply the distance formula correctly: \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

Answer 1

The Correct Option is C

Step 1: Use the distance formula.
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Step 2: Substitute the coordinates.
\[ d = \sqrt{(4 - 2)^2 + (1 - 3)^2} = \sqrt{(2)^2 + (-2)^2} = \sqrt{4 + 4} = \sqrt{8} \] \[ d = 2\sqrt{2} \]
Step 3: Conclusion.
Hence, the distance between the two points is \(2\sqrt{2}\).