Three Dimensional Geometry Question 309

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

Options:

A) (3, 4)

B) (5, 4)

C) (4, 5)

D) (4, 3)

Show Answer

Answer:

Correct Answer: B

Solution:

[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 $