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Question: If the foot of perpendicular drawn from the origin to the plane is (4, – 2, – 5). Then equation of p...

If the foot of perpendicular drawn from the origin to the plane is (4, – 2, – 5). Then equation of plane is

A
B

r→⋅(4i^−2j^−5k^)=45\overrightarrow { \mathrm { r } } \cdot ( 4 \hat { \mathrm { i } } - 2 \hat { \mathrm { j } } - 5 \hat { \mathrm { k } } ) = \sqrt { 45 }

C
D

None of these

Answer
Explanation

Solution

Equation of plane is r→⋅n→=a→⋅n→\overrightarrow { \mathrm { r } } \cdot \overrightarrow { \mathrm { n } } = \overrightarrow { \mathrm { a } } \cdot \overrightarrow { \mathrm { n } }

Ž

Ž = 45