Question

Find out the distance between the points
(p,q+r) and (q,p+r).​

Answer 1

$\textbf{Given:}$

$\textsf{Points are (p,q+r) and (q,p+r)}$

$\textbf{To find:}$

$\textsf{The distance between the given points}$

$\textbf{Solution:}$

$\textbf{Formula used:}$

$\mathsf{The\;disance\;between\;(x_1,y_1)\;and\;(x_2,y_2)\;is}$

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

$\mathsf{Distance\;between\;(p,q+r)\;and\;(q,p+r)}$

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

$\mathsf{=\sqrt{(p-q)^2+(q+r-p-r)^2}}$

$\mathsf{=\sqrt{(p-q)^2+(q-p)^2}}$

$\mathsf{=\sqrt{(p-q)^2+(p-q)^2}}$

$\mathsf{=\sqrt{2\;(p-q)^2}}$

$\mathsf{=\sqrt{2}\;(p-q)}$

$\textbf{Answer:}$

$\mathsf{The\;distance\;between\;given\;points\;is\;\sqrt{2}\;(p-q)}$

$\textbf{Find more:}$

Root 2 times the distance between (0,5) and (-5,0) is

https://brainly.in/question/15926388