Question

The distance between the points (5, 0) and (-12, 0) will be:

• A. 5
• B. 7
• C. 13
• D. 17

Hint:

For points on the same axis, the distance is simply the difference of their x-coordinates or y-coordinates.

Answer 1

The Correct Option is C

Step 1: Use the distance formula.
The distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Step 2: Substitute the given coordinates.
Here, \((x_1, y_1) = (5, 0)\) and \((x_2, y_2) = (-12, 0)\). \[ d = \sqrt{(-12 - 5)^2 + (0 - 0)^2} = \sqrt{(-17)^2} = 17 \]
Step 3: Correct calculation.
\[ d = 17 \]
Step 4: Check the given options.
The correct option is (D) 17.