Three Dimensional Geometry Question 261

Question: The distance between the planes $ x+2y+3z+7=0 $ and $ 2x+4y+6z+7=0 $ is

[MP PET 1991]

Options:

A) $ \frac{\sqrt{7}}{2\sqrt{2}} $

B) $ \frac{7}{2} $

C) $ \frac{\sqrt{7}}{2} $

D) $ \frac{7}{2\sqrt{2}} $

Show Answer

Answer:

Correct Answer: A

Solution:

Required distance = $ \frac{7-\frac{7}{2}}{\sqrt{1+4+9}}=\frac{\sqrt{7}}{2\sqrt{2}} $ .