A) \[\left( 2,0,1 \right)\]
B) \[\left( 4,0,1 \right)\]
C) \[\left( 1,0,4 \right)\]
D) \[\left( 1,0,2 \right)\]
Correct Answer: A
Solution :
Let point P on the line is \[(2\lambda +1,\lambda 1,\lambda )\] foot of perpendicular Q is given by \[\frac{x-2\lambda -1}{1}=\frac{y+\lambda +1}{1}=\frac{z-\lambda }{1}=\frac{-(2\lambda -3)}{3}\] \[\therefore \] Q lies on \[x+y+z=3\And xy+z=3\] \[\Rightarrow x+z=3\And y=0\] \[y=0\Rightarrow \lambda +1=\frac{-2\lambda +3}{3}\Rightarrow \lambda =0\]\[\Rightarrow Q\]is (2,0,1)You need to login to perform this action.
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