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Question

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

The length of the perpendicular from the origin to the plane 3x+4y+12z=523x + 4y + 12z = 52is

A

3

B

–4

C

5

D

None of these

Answer

None of these

Explanation

Solution

p=529+16+144=5213=4p = \left| \frac { - 52 } { \sqrt { 9 + 16 + 144 } } \right| = \left| \frac { - 52 } { 13 } \right| = | - 4 | = 4.