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  • The distance between the points (0, 5) and (–5, 0) is (A) 5 (B)5root 2 (C)2 root 5 (D) 10

The distance between the points (0, 5) and (–5, 0) is

(A) 5

(B) 5\sqrt2

(C) 2\sqrt5

(D) 10

Answers (1)

\\The given points are A (0, 5),B (-5, 0)\\ (x\textsubscript{1}, y\textsubscript{1}) = (0, 5) (x\textsubscript{2}, y\textsubscript{2}) = (-5, 0)\\ Let the distance between the points is AB \\ AB=\sqrt{{{({{x}_{2}}-{{x}_{1}})}^{2}}+{{({{y}_{2}}-{{y}_{1}})}^{2}}} \\ AB=\sqrt{{{(-5-0)}^{2}}+{{(0-5)}^{2}}} \\ AB=\sqrt{25+25}=\sqrt{50}=5\sqrt{2} \\ AB=5\sqrt{2} \\

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