Question

The distance between the points $E(-6,13),F(9,-7)$ is

• A. $25$
• B. $\sqrt{45}$
• C. $15$
• D. $\sqrt{409}$

Answer 1

The correct option is A $25$

The given points are $E(x_1,y_1)=(-6,13)$ and $F(x_2,y_2)=(9,-7)$.

Now the distance between two points $E(x_1,y_1)$ and $F(x_2,y_2)$ is $d=\sqrt{{(x_1-x_2)}^2+{(y_1-y_2)}^2}$.

$\therefore$ the length of $EF=d=\sqrt{{(-6-4)}^2+{(13+7)}^2}$ units

$=\sqrt{225+400}$ units $=25$ units