Question

If A and B are the points $(-6,7)$ and $(-1,-5)$ respectively, then the distance 2AB is equal to

• A. $28$
• B. $26$
• C. $169$
• D. $238$

Answer 1

Answer: (B)

$26$

The distance between two points can be found by the equation

AB $=\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$

here point $A(-6,7)$ and $B(-1,-5)$

$\therefore$ AB $=\sqrt{(-1+6{)}^2+(-5-7{)}^2}=\sqrt{169}=13$

$\therefore$ $2AB=2\times 13=26$