A) 2 : 3
B) 3 : 2
C) -2 : 3
D) 4 : - 3
Correct Answer: A
Solution :
[a] Let the point R divides the line joining the points P(2, 4, 5) and Q(3, 5, -4) in the ration m:n. \[\therefore \] The coordinate of R is \[\left( \frac{3m-2n}{m+n},\frac{5m-4n}{m+n},\frac{-4m+5n}{m+n} \right)\] Since, the point R is on yz-plane, therefore x-coordinate will be zero. \[\therefore \frac{3m-2n}{m+n}=0\Rightarrow 3m-2n=0\Rightarrow 3m=2n\]\[\Rightarrow \frac{m}{n}=\frac{2}{3}\]You need to login to perform this action.
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