Question

If A(−6, 7) and B(−1, −5) are two given points then the distance 2AB is [CBSE 2011]
(a) 13 (b) 26 (c) 169 (d) 238

Answer 1

The given points are A(−6, 7) and B(−1, −5). So
$$\begin{gathered} AB=\sqrt{{\left(-6+1\right)}^2+{\left(7+5\right)}^2} \\ =\sqrt{{\left(-5\right)}^2+{\left(12\right)}^2} \\ =\sqrt{25+144} \\ =\sqrt{169} \\ =13 \end{gathered}$$
Thus, 2AB = 26.
Hence, the correct answer is option (b).