If A(x_{1}, y_{1}) and B(x_{2}, y_{2}) are th | vedclass

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Question

(A) The distance between two points $A(x_{1}, y_{1})$ and $B(x_{2}, y_{2})$ in a Cartesian plane is given by the distance formula.According to the dis

Vedclass · Accepted Answer

$\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}$

Vedclass · Answer

(A) The distance between two points $A(x_{1}, y_{1})$ and $B(x_{2}, y_{2})$ in a Cartesian plane is given by the distance formula.According to the distance formula,the distance $d$ between points $A$ and $B$ is calculated as $d(A, B) = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}$.Since $(x_{2}-x_{1})^{2} = (x_{1}-x_{2})^{2}$ and $(y_{2}-y_{1})^{2} = (y_{1}-y_{2})^{2}$,the formula can also be written as $d(A, B) = \sqrt{(x_{1}-x_{2})^{2} + (y_{1}-y_{2})^{2}}$.Therefore,option $A$ is the correct answer.

If $A(x_{1}, y_{1})$ and $B(x_{2}, y_{2})$ are the given points,then $d(A, B) = $ .........

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