The distance between ( 2, 3) and ( -4,5) is _______

2 \sqrt{2}

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2 \sqrt{10}

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2 \sqrt{17}

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\sqrt{10}

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Solution

The correct option is D $2 \sqrt{10}$
Distance between two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is $\sqrt{{(x_{2} - x_{1})}^{2} + {{(y}_{2} - y_{1})}^{2}}$
So, distance between $(2, 3); (- 4, 5)$ is $\sqrt{{(- 4 - 2)}^{2} + {(5 - 3)}^{2}} = \sqrt{40} = 2 \sqrt{10}$

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The distance between ( 2, 3) and ( -4,5) is _______

The correct option is D 2√10Distance between two points (x1,y1) and (x2,y2) is √(x2−x1)2+(y2−y1)2So, distance between (2,3);(−4,5) is √(−4−2)2+(5−3)2=√40=2√10

The correct option is D $2 \sqrt{10}$
Distance between two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is $\sqrt{{(x_{2} - x_{1})}^{2} + {{(y}_{2} - y_{1})}^{2}}$
So, distance between $(2, 3); (- 4, 5)$ is $\sqrt{{(- 4 - 2)}^{2} + {(5 - 3)}^{2}} = \sqrt{40} = 2 \sqrt{10}$