Question

If A and B are the points (-2,3)and (-3,5) respectively then the distance 2AB​

Answer 1

$\textbf{Given:}$

$\text{Points A(-2,3) and B(-3,5)}$

$\textbf{To find:}$

$\text{The distance 2AB}$

$\textbf{Solution:}$

$\textbf{Formula used:}$

$\text{The distance between two points }$

$(x_1,y_1)\:\text{and}\:(x_2,y_2)\;\text{is}$

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

$\text{Distance between A and B,}$

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

$AB=\sqrt{(-2-(-3))^2+(3-5)^2}$

$AB=\sqrt{(-2+3)^2+(3-5)^2}$

$AB=\sqrt{(1)^2+(-2)^2}$

$AB=\sqrt{1+4}$

$AB=\sqrt{5}$

$\implies\bf\,2\,AB=2\sqrt5$

$\therefore\textbf{The value of 2AB is \bf\,2\sqrt{5} }$

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