Three Dimensional Geometry Question 362
Question: If the foot of the perpendicular from the origin to a plane is P (a, b, c), the equation of the plane is
Options:
A) $ \frac{x}{a}+\frac{y}{b}+\frac{z}{c}=3 $
B) $ ax+by+cz=3 $
C) $ ax+by+cz=a^{2}+b^{2}+c^{2} $
D) $ ax+by+cz=a+b+c $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] Direction ratios of OP are (a, b, c) Therefore, equation of the plane is $ a(x-a)+b(y-b)+c(z-c)=0 $ i.e., $ xa+yb+zc=a^{2}+b^{2}+c^{2} $
BETA
