Question

find the distance between the co ordinate of the points A(2,3) and B(10,-3)​

Answer 1

$\huge \bf \underline{ \underline{Question}}$

find the distance between the co ordinate of the points A(2,3) and B(10,-3)

$\huge \bf \underline{ \underline{Answer}}$

Distance formula,

$= \sqrt{(x _{2} - x _{1})^{2} + (y _{2} - y _{1})^{2} } \\ = \sqrt{(10 - 2)^{2} + ( - 3 - 3)^{2} } \\ = \sqrt{(8)^{2} + ( - 6)^{2} }$

$= \sqrt{64 + 36 } \\ = \sqrt{100} \\ = 10$

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Therefore the distance is 10 units