A) \[2x+y+2=0\]
B) \[3x+y-z=2\]
C) \[2x-3y+8z=3\]
D) none of these
Correct Answer: A
Solution :
[a] Equation of the plane through \[\left( -1,\text{ }0,\text{ }1 \right)\] is \[a(x+1)+b(y-0)+c(z-1)=0\] ...(i) Which id parallel to the given line and perpendicular to the given plane \[-a+2b+3c=0\] ...(ii) And \[a-2b+c=0\] ...(iii) From Eqs. (ii) and (iii), we get \[c=0,\text{ }a=2b\] From Eq. (i), \[2b(x+1)+by=0\] \[\Rightarrow 2x+y+2=0\]You need to login to perform this action.
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