Question

Find the distance between the ponits $(-2,-3)$ and $(3,2)$.

• A. $5\sqrt{2}$
• B. $3\sqrt{2}$
• C. $2\sqrt{2}$
• D. None of these

Answer 1

Answer: (A)

$5\sqrt{2}$

Take points $A(-2,-3)$ and $B(3,2)$

To find the distance between two point $A(x_1,y_1)$ and $B(x_2,y_2)$, distance formula is used which is given by:

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

So, $AB=\sqrt{(-2-3{)}^2+(-3-2{)}^2}=\sqrt{(25+25)}=\sqrt{\left(50\right)}=5\sqrt{2}$