Question Bank - P2 — Maths STD 10 — Question

$\therefore \mathrm{x}_1=0, \mathrm{y}_1=0, \mathrm{x}_2=-5, \mathrm{y}_2=12$

By distance formula,

$d(O, B)=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{(-5-0)^2+(12-0)^2}$

$=\sqrt{(-5)^2+12^2}$

$=\sqrt{25+144}$

$=\sqrt{169}$

$\therefore d(O, B)=13 \text { units }$

$\therefore$ The distance between the points $O$ and $B$ is 13 units.