Question

The distance between the points \((x_1, y_1)\) and \((x_2, y_2)\) is:

• A. \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
• B. \(\sqrt{(x_2 + x_1)^2 + (y_2 + y_1)^2}\)
• C. \(\sqrt{(x_2 - x_1)^2 - (y_2 - y_1)^2}\)
• D. \(\sqrt{(x_2 + x_1)^2 - (y_2 + y_1)^2}\)

Hint:

To find the distance between two points, use the distance formula \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

Answer 1

The Correct Option is A

The formula for the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) in the coordinate plane is given by: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] Thus, the correct answer is option (1).