What is the distance between the points (3, -1) and (-3, 7) ?

The correct answer is Option (3) → 10 units

By the distance formula, the distance between \((x_1,\,y_1)\) and \((x_2,\,y_2)\) is \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\), Pythagoras’ theorem on the horizontal and vertical gaps between the points.

• Horizontal gap: \(-3-3=-6\), and \((-6)^2=36\)

• Vertical gap: \(7-(-1)=8\), and \(8^2=64\)

• Distance \(=\sqrt{36+64}=\sqrt{100}=10\) units