A) \[9:1\]
B) \[1:9\]
C) \[-1:9\]
D) \[-9:1\]
Correct Answer: D
Solution :
Position vector of \[P=9\hat{i}-\hat{j}+5\hat{k}=(9,-1,5)\] and position vector of Q \[=\hat{i}+3\hat{j}+5\hat{k}=(1,3,5)\] Let \[PR:RQ=m:1\] \[\because \] PQ intersects the YOZ plane. \[\therefore \] x-coordinate of \[R=0\] \[\Rightarrow \] \[\frac{9\times 1+m\times 1}{m+1}=0\] \[\Rightarrow \] \[9+m=0\] \[\Rightarrow \] \[m=-9\] \[\therefore \] Ratio \[=-9:1\]You need to login to perform this action.
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