Question

The distance between (3, –3) and (–4, –2) is equal to

• A.
  $\sqrt{74}units$
• B.
  $2\sqrt{5}units$
• C.
  $5\sqrt{2}units$
  
• D.
  $\sqrt{26}units$

Answer 1

The correct option is C

$5\sqrt{2}units$

The distance between the two points $(x_1,y_1)and(x_2,y_2)$ is given by $\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$

$\therefore$ Distance between the points (3, –3) and (–4, –2)
$=\sqrt{(-4-3{)}^2+(-2+3{)}^2}=\sqrt{49+1}=\sqrt{50}=5\sqrt{2}units$
Hence, the correct answer is option (c).