If \((a, 8)\) is a point on the join of \((2,5)\) and \((4,-1)\) then
If \((a, 8)\) is a point on the join of \((2,5)\) and \((4,-1)\) then
\(a=\frac{8}{3}\)
\(a=\frac{3}{8}\)
\(a=1\)
\(a=-1\)
Solution
Since points \(A(a, 8), B(2,5)\) and \(C(4,-1)\) are collinear, so
Slope of line \(A B\) and slope of line \(B C\) are same
\(\frac{3}{a-2}=\frac{6}{-2} \Rightarrow a-2=-1 \Rightarrow a=1\)