Calculate the distance between points L -1 -6 a... - JAMB Mathematics 2008 Question
Calculate the distance between points L(-1, -6) and M(-3, -5)
A
√5
B
2√3
C
√20
D
√50
correct option: a
L\(\begin{pmatrix} x_1 & y_1 \ -1 & -6 \end{pmatrix}\) m L\(\begin{pmatrix} x_2 & y_2 \ -3 & -5 \end{pmatrix}\)
D = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
D = \(\sqrt{(-3 - (-1)^2 + (-5 -(-6)^2}\)
D = \(\sqrt{(-3 + 1)^2 + (-5 + 6)^2}\)
D = \(\sqrt{(-2)^2 + 1^2}\)
D = \(\sqrt{4 + 1}\)
D = \(\sqrt{5}\)
D = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
D = \(\sqrt{(-3 - (-1)^2 + (-5 -(-6)^2}\)
D = \(\sqrt{(-3 + 1)^2 + (-5 + 6)^2}\)
D = \(\sqrt{(-2)^2 + 1^2}\)
D = \(\sqrt{4 + 1}\)
D = \(\sqrt{5}\)
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