Three Dimensional Geometry Question 263

Question: If the product of distances of the point (1, 1, 1) from the origin and the plane $ x-y+z+k=0 $ be 5, then k =

Options:

A) ? 2

B) ?3

C) 4

D) 7

Show Answer

Answer:

Correct Answer: C

Solution:

$ \sqrt{1+1+1},.,( \frac{1-1+1+k}{\sqrt{3}} )=\pm ,5 $ or $ k=\pm ,5-1=4,-,6 $ .