Question

Find the distance between the following pair of points.

$(6,0)$ and $(-2,4)$

• A. $4\sqrt{5}$
• B. $2\sqrt{5}$
• C. $3\sqrt{5}$
• D. None of these

Answer 1

Answer: (A)

$4\sqrt{5}$

Take points $A(6,0)$ and $B(-2,4)$.

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, $AB=\sqrt{(6-(-2){)}^2+(0-4{)}^2}=\sqrt{(64+16)}=\sqrt{\left(80\right)}=4\sqrt{5}$