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Find the distance between the points A(2, - 3) and B(3, 5)?
1. 15
2. \(\sqrt{65}\)
3. \(\sqrt{15}\)
4. 45

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Correct Answer - Option 2 : \(\sqrt{65}\)


Let A(x1, y1) and B(x2, y2) be two points on a 2D plane the the distance between A and B is given by:\(\rm \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\).


Given: A(2, - 3) and B(3, 5) are two points on a 2D plane.

As we know that, the distance between the points A(x1, y1) and B(x2, y2) is given by:\(\rm \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\)

Let d be the distance between the points A and B.

\(\Rightarrow \rm d=\sqrt{(3-2)^{2}+(5+3)^{2}}=\sqrt{64+1}=\sqrt{65}\)

Hence, the correct option is 2.

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