Correct Answer - Option 2 :
\(\sqrt{65}\)
Concept:
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:\(\rm \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\).
Calculation:
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.