JEE Main & Advanced
Mathematics
Three Dimensional Geometry
Question Bank
Critical Thinking
question_answer
The equation of the plane through the intersection of the planes \[x+2y+3z-4=0\], \[4x+3y+2z+1=0\] and passing through the origin will be [MP PET 1998]
A)\[x+y+z=0\]
B)\[17x+14y+11z=0\]
C)\[7x+4y+z=0\]
D)\[17x+14y+z=0\]
Correct Answer:
B
Solution :
Equation of plane passing through intersecting the planes \[x+2y+3z-4=0\] and \[4x+3y+2z+1=0\] is, \[x+2y+3z-4+\lambda \,(4x+3y+2z+1)=0\]
Since it is passing through origin, so \[\lambda =4.\]