JEE Main & Advanced
Mathematics
Three Dimensional Geometry
Question Bank
Critical Thinking
question_answer
The equation of the plane passing through the points \[(1,-3,-2)\] and perpendicular to planes \[x+2y+2z=5\] and \[3x+3y+2z=8\], is [AISSE 1987]
A)\[2x-4y+3z-8=0\]
B)\[2x-4y-3z+8=0\]
C)\[2x+4y+3z+8=0\]
D)None of these
Correct Answer:
A
Solution :
\[l+2m+2n=0,\,\,\,3l+3m+2n=0\],\[{{l}^{2}}+{{m}^{2}}+{{n}^{2}}=1,\] we get l, m, n from these equations and then putting the values in \[l(x-1)+m(y+3)\] \[+n(z+2)=0,\] we get the required result.