A) \[3:2\] internally
B) \[2:3\]internally
C) \[2:3\] externally
D) \[3:2\]externally
Correct Answer: B
Solution :
(b): Let line joining (2, 1) and (1, 4) be divided in the ratio \[K:1\]at intersection point C. \[\therefore \] Coordinates of' ?C? will be \[\left( \frac{K+2}{K+1},\frac{4K+1}{K+1} \right)\] ?C? also lies on line \[4x+3y-13=0\] \[\Rightarrow \]\[4\left( \frac{K+2}{K+1} \right)+3\left( \frac{4K+1}{K+1} \right)-13=0\] \[\Rightarrow \]\[4K+8+12K+3-13=0\] \[\Rightarrow \]\[3K=13-11\] \[\Rightarrow \]\[3K=2\] \[\Rightarrow \]\[K:1=2:3\]You need to login to perform this action.
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