Question

Geometry math question no Guessing and Please show work

Answer 1

Answer :

The given points are A (- 5, 2) and C (11, 0)

Given that the line segment joining A and C are divided into the ratio 5 : 3 by the point B

Thus, the coordinates of the point B be

$( \frac{(3 \times ( -5 )) + (5 \times 11)}{5 + 3}, \frac{(3 \times 2) + (5 \times 0)}{5 + 3} ) \\ \\ i.e. \:( \frac{ - 15 + 55}{8}, \frac{6 + 0}{8} ) \\ \\ i.e. \: (\frac{40}{8} ,\frac{6}{8} ) \\ \\ i.e. \: (5, \frac{3}{4} )$

Therefore, option (c) is correct.

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