JEE Main & Advanced
Mathematics
Three Dimensional Geometry
Question Bank
Critical Thinking
question_answer
The equation of the planes passing through the line of intersection of the planes \[3x-y-4z=0\] and \[x+3y+6=0\] whose distance from the origin is 1, are
A)\[x-2y-2z-3=0\], \[2x+y-2z+3=0\]
B)\[x-2y+2z-3=0\], \[2x+y+2z+3=0\]
C)\[x+2y-2z-3=0\], \[2x-y-2z+3=0\]
D)None of these
Correct Answer:
A
Solution :
Equation of planes passing through intersecting the planes \[3x-y-4z=0\] and \[x+3y+6=0\] is, \[(3x-y-4z)+\lambda \,(x+3y+6)=0\] --(i)