Question

Find the distance between the following pair of points.
$(a,b)$ and $(-a,-b)$.

Answer 1

$\begin{array}{c}(a_{x_1},b_{y_1})and\left({-a}_{x_2},-b_{y_2}\right)\\ Asweknowthatfromdis\tan ceformula\\ \Rightarrow \sqrt{{\left(x_2-x_1\right)}^2{\left(y_2-y_1\right)}^2}\\ \Rightarrow Dis\tan ceb/wpoints=\sqrt{{\left(-a-a\right)}^2+{\left(-b-b\right)}^2}\\ \Rightarrow Dis\tan ceb/wpoints=\sqrt{{\left(-2a\right)}^2-{\left(-2b\right)}^2}\\ =\sqrt{4a^2+4b^2}\\ =2\sqrt{a^2+b^2}unit\end{array}$