A) \[\left( 3,\frac{8}{5} \right)\]
B) \[\left( 1,\frac{4}{5} \right)\]
C) \[\left( \frac{5}{2},\frac{3}{4} \right)\]
D) \[\left( 2,\frac{12}{5} \right)\]
Correct Answer: A
Solution :
[a] Let the points \[P(x,y)\] divides the join of \[A(5,0)\]and \[B(0,4)\]in the ratio \[2:3\] internally. |
\[\therefore \,\,\,x=\frac{2(0)+3(5)}{2+3}=3\] and \[y=\frac{2(4)+3(0)}{2+3}=\frac{8}{5}\] |
Hence, the required points is \[\left( 3,\frac{8}{5} \right)\] |
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