Question

find the distance between the following pairs of points (a,b)and(-a,-b)​

Answer 1

Let A (a,b) = ( x1 ,y1) and B ( x2,y2) be the points of a straight line

AB =

$\sqrt{(x2 - x1} ) {}^{2} +( y2 - y1) {}^{2}$

AB =

$\sqrt{ (- a - a) {}^{2} } + ( - b - b) {}^{2}$

$= \sqrt{( -2 a) {}^{2} } + ( - 2b) {}^{2}$

$= \sqrt{4a {}^{2} } + 4b {}^{2} = 2 \sqrt{a } { }^{2} + b {}^{2} units$

Answer =

$2 \sqrt{a} {}^{2} + b {}^{2} units$