Aspire Faculty ID #13959 · Topic: JAMIA MILLIA ISLAMIA MCA 2020 · Just now
JAMIA MILLIA ISLAMIA MCA 2020

What is the value of $x$ for which the points $(x,-1)$, $(2,1)$ and $(4,5)$ are collinear?

Solution

For collinearity, slopes must be equal: $\dfrac{1-(-1)}{2-x} = \dfrac{5-1}{4-2} \Rightarrow \dfrac{2}{2-x} = 2 \Rightarrow 1 = 2 - x \Rightarrow x = 1.$
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