A) 2:3
B) 1:2
C) 3:2
D) 2:1
Correct Answer: C
Solution :
\[A\left( -4,\,3 \right),\]\[B\left( 2,\,8 \right)\]and \[P\left( m,\,6 \right)\] |
Let P divides the join of AB in the ratio of k : 1. |
\[\therefore \,\] y-coordinate of \[P=\frac{k\times 8+1\times 3}{k+1}\] |
\[\Rightarrow \,\,\,\,6=\frac{8k+3}{k+1}\] |
\[\Rightarrow \,\,\,\,6k+6=8k+3\] |
\[\Rightarrow \,\,\,2k=3\] |
\[\Rightarrow \,\,\,\,k=\frac{3}{2}\] |
\[\therefore\] P divides the join of AB in the ratio of 3 : 2. |
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