Correct Answer - Option 1 : 17

__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, - 7) and B(6, 8) are two points on a 2D plane.

As we know that, the distance between two 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.

\(\Rightarrow \rm d=\sqrt{(6+2)^{2}+(8+7)^{2}}=\sqrt{64+225}=17\)

Hence, the correct option is 1.