Question

If the points $(2,x),(4,5)$ and $(5,2)$ are collinear, then the value of $x$ is

Answer 1

Let the points be $A(2,x),B(4,5)$ and $C(5,2)$
Points are collinear
$\therefore$ Slope of $AB=$ Slope of $BC$
$\Rightarrow \frac{5-x}{4-2}=\frac{2-5}{5-4}$
$\Rightarrow x=11$