Question

Find the ratio in which the point P (5,4, - 6) divides the joining points A (3,2, - 4) and B (9,8,-10)

Answer 1

Therefore, the ratio is m1:m2 = 1:2

Answer 2

$\huge\green{\mathfrak{\underline{\underline{ANSWER}}}}$

Let P divides AB in ratio k : 1

$</p><p>\huge\blue{\textbf{\underline{BY\:APPLYING\:SECTION\:FORMULA,\:WE\:GET}}}$

$5 = \frac{9k + 3}{k + 1}$

=> 5 ( k + 1 ) = 9k + 3

5k + 5 = 9k + 3

4k = 2

$= > k = \frac{2}{4} = \frac{1}{2}$

$\huge\orange{\textbf{\underline{Hence,\:ratio\:is\:1:2}}}$

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