Question
Question: If the foot of the perpendicular from the origin to a plane is P(a, b, c) the equation of the plane ...
If the foot of the perpendicular from the origin to a plane is P(a, b, c) the equation of the plane is
A
= 3
B
ax + by + cz = 3
C
ax + by + cz = a2 + b2 + c2
D
ax + by + cz = a + b + c
Answer
ax + by + cz = a2 + b2 + c2
Explanation
Solution
Direction ratios of OP are (a,b,c)
\ equation of the plane is a(x – a) + b(y – b) + c(z – c) = 0
i.e. xa + yb + zc = a2 + b2 + c2