A) 2, 3, 4
B) 4, 0, 7
C) -2, 0,-1
D) 2, 0, -1
Correct Answer: D
Solution :
The equation of a plane passing through (1, - 2,3) is\[a(x-1)+b(y+2)+c(z-3)=0\] ... (i) It passes through (-1,2, -1) and is parallel to the given line. \[\therefore \] \[a(-2)+b(4)+c(-4)=0\] and \[2a+3b+4c=0\] \[\Rightarrow \] \[\frac{a}{28}=\frac{b}{0}=\frac{c}{-14}\] \[\Rightarrow \] \[\frac{a}{2}=\frac{b}{0}=\frac{c}{-1}\] Hence, \[a:b:c=2:0:-1\]You need to login to perform this action.
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