Question

If the distance between the points (4, p) and (1, 0) is 5, then p=___

• A. $\pm 4$
• B. $\pm 2$
• C. $\pm 2\sqrt{2}$
• D. $\pm 4\sqrt{2}$

Answer 1

The correct option is A $\pm 4$

Distance between the points = 5
$\sqrt{(4-1{)}^2+(p-0{)}^2}=5\Rightarrow 9+p^2=25\Rightarrow p^2=16\therefore p=\pm 4$