1.

Find the value of x for which the points (x, -1), (2, 1) and (4, 5) are collinear.

Answer»

The slope of the lines joining the points (x, -1) and (2, 1); (2, 1) and (4, 5) are same.

\(\frac{1-(-1)}{2-x}= \frac{5-1}{4-2}\)

\(\Rightarrow\) \(\frac{2}{2-x} = \frac{4}{2} \)

\(\Rightarrow\) 2 - x = 1 \(\Rightarrow\) x = 1



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