A) \[1:2\]
B) \[2:3\]
C) \[3:4\]
D) \[1:1\]
Correct Answer: B
Solution :
[b] Let \[P(3,4)\] divide the join of \[A(1,2)\] and \[B(6,7)\] in the ratio \[k:1\]. |
\[\therefore \] Coordinates of P are \[\frac{6k+1}{k+1}=3\,\,\,\,\,\Rightarrow \,\,k=\frac{2}{3}\] |
and \[\frac{7k+2}{k+1}=4\,\,\,\,\Rightarrow \,\,\,k=\frac{2}{3}\] |
\[\therefore \]The required ratio is \[\frac{2}{3}:1\] i.e., \[2:3\] |
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