1.

Find the distance between the points (3, – 2) and (– 1, – 1).

Answer»

 Let, the points be A(x1, y1) = (3, – 2) and B(x2, y2) = (– 1, – 1).

Then, the distance

AB = \(\sqrt{(x_1 − x_2 )^2 + (y_1 − y_2)^2}\)

= \(\sqrt{(3 + 1)^2 + (-2 + 1)^2}\)

= \(\sqrt{4^2 + (-1)^2}\)

= \(\sqrt{17}\) units.


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