A) \[\left( \frac{5}{3},-\frac{1}{3},0 \right)\]
B) (1, 1, 0)
C) \[\left( \frac{2}{3},-\frac{1}{3},0 \right)\]
D) \[\left( -\frac{5}{3},\frac{1}{3},0 \right)\]
Correct Answer: A
Solution :
[a] Equation of line. \[x+2y+z-1+\lambda (-x+y-2z-2)=0\] ...(i) \[x+y-2+\mu (x+z-2)=0\] ...(ii) (0, 0, 1) lies on it \[\Rightarrow \lambda =0,\mu =-2\] ...(iii) For point of intersection, z=0 and solve (i) and (ii).You need to login to perform this action.
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