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The point dividing the line segment joining $(4,-3)$ and $(8,5)$ internally in the ratio $3:1$ is
A$(7,3)$
B$(6,1)$
C$(5,-1)$
D$(8,3)$
Answer & Solution
Correct answer: A. $(7,3)$
Using the section formula, $x=\dfrac{3\cdot 8+1\cdot 4}{3+1}=7$ and $y=\dfrac{3\cdot 5+1\cdot(-3)}{3+1}=3$. Hence the required point is $(7,3)$.
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