Question

Distance between two points $(4,-8)$ and $(5,-2)$ is

• A. $\sqrt{37}$
• B. $\sqrt{10}$
• C. 12
• D. 14

Answer 1

The correct option is A $\sqrt{37}$

As we know that distance $\left(d\right)$ between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is given as-

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

Therefore, distance between the given points, i.e., $(4,-8)$ and $(5,-2)$-

$d=\sqrt{{(5-4)}^2+{((-2)-(-8))}^2}$

$\Rightarrow d=\sqrt{{\left(1\right)}^2+{\left(6\right)}^2}$

$\Rightarrow d=\sqrt{1+36}=\sqrt{37}$

Thus the distance between the given points is $\sqrt{37}$.

Hence the correct answer is $\sqrt{37}$.