Three Dimensional Geometry Question 176

Question: The length of the perpendicular from the origin to the plane $ 3x+4y+12z=52 $ is

[MP PET 2000; Pb. CET 2001]

Options:

A) 3

B) ?4

C) 5

D) None of these

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Answer:

Correct Answer: D

Solution:

$ p=| ,\frac{-52}{\sqrt{9+16+144}}, |=| ,\frac{-52}{13}, |=|-4| $ = 4.