Answer: \(AB=a\sqrt2\)
Distance formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\).
\[AB=\sqrt{(0-a)^2+(a-0)^2}=\sqrt{2a^2}=a\sqrt2\]
(taking \(a>0\); in general the distance is \(|a|\sqrt2\)).
Answer: \(AB=a\sqrt2\)
Distance formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\).
\[AB=\sqrt{(0-a)^2+(a-0)^2}=\sqrt{2a^2}=a\sqrt2\]
(taking \(a>0\); in general the distance is \(|a|\sqrt2\)).
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