Question

The ordered pair $(\lambda ,\mu )$ such that the points $(\lambda ,\mu ,-6),(3,2,-4)$ and $(9,8,-10)$ become collinear is

• A. (3, 4)
• B. (5, 4)
• C. (4, 5)
• D. (4, 3)

Answer 1

Answer: (B)

If the given points $(\lambda ,\mu ,-6),(3,2,-4)$ and $(9,8,-10)$ are collinear then
$\frac{\lambda -3}{9-3}=\frac{\mu -2}{8-2}=\frac{-6+4}{-10+4}\Rightarrow \lambda =5,\mu =4$