Question

Find the distance of the point from the origin which divides the line segment joining the points (5, 4) and (3,-2) in the ratio 4: 3.​

Answer 1

Step-by-step explanation:

$by \: segment \: formula \\ x = \frac{mx2 + nx1}{m + n} \\ = \frac{4 \times 3 + 3 \times 5 }{4 + 3} \\ = \frac{27}{5} \\ = 5.4$

$y = \frac{4 \times - 2 + 3 \times 4}{7} \\ = \frac{4}{7}$

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