Three Dimensional Geometry Question 251
Question: The equation of the plane which is parallel to y-axis and cuts off intercepts of length 2 and 3 from x-axis and z-axis is
Options:
A) $ 3x+2z=1 $
B) $ 3x+2z=6 $
C) $ 2x+3z=6 $
D) $ 3x+2z=0 $
Show Answer
Answer:
Correct Answer: B
Solution:
Equation of plane parallel to y-axis is, $ ax+bz+1=0 $ Also $ 2a+1=0\Rightarrow a=-\frac{1}{2} $ and $ 3b+1=0\Rightarrow b=-\frac{1}{3} $
$ \therefore ,3x+2z=6 $ . Aliter : Equation of plane $ \frac{x}{2}+\frac{z}{3}=1,\Rightarrow 3x+2z=6 $ .
BETA
