A) (1, 3)
B) (2, 6)
C) (3, 4)
D) (4, 6)
Correct Answer: A
Solution :
Let the coordinates of a point are (x, y). |
We have, \[{{x}_{1}}=-1,\,{{y}_{1}}=7\] ; |
\[{{x}_{2}}=4,\,{{y}_{2}}=-3\] |
and \[{{m}_{1}}=2,\,{{m}_{2}}=3\] |
\[\therefore\] By using section formula, |
\[x=\frac{{{m}_{1}}{{x}_{2}}+{{m}_{2}}{{x}_{1}}}{{{m}_{1}}+{{m}_{2}}}\] |
\[=\frac{2\left( 4 \right)+3\left( -1 \right)}{2+3}=\frac{8-3}{5}=\frac{5}{5}=1\] |
and \[y=\frac{{{m}_{1}}{{y}_{2}}+{{m}_{2}}{{y}_{1}}}{{{m}_{1}}+{{m}_{2}}}=\frac{2\left( -3 \right)+3\left( 7 \right)}{2+3}\] |
\[=\frac{-6+21}{5}=\frac{15}{5}=3\] |
Hence, coordinates of the point are (1,3). |
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