Question

Distance between the points (0, a) and (0, -a) is

• A. \(a^2\)
• B. \(4a^2\)
• C. \(4a^2\)
• D. \(2a\)

Answer 1

The Correct Option is D

To calculate the distance between the points \((0, a)\) and \((0, -a)\), we use the distance formula:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] Here, \((x_1, y_1) = (0, a)\) and \((x_2, y_2) = (0, -a)\), so: \[ d = \sqrt{(0 - 0)^2 + (-a - a)^2} = \sqrt{0 + (-2a)^2} = \sqrt{4a^2} = 2a \] Thus, the distance is \(2a\).