Question

in what ratio is the line segment joining the points p (3,_6) and q (5,3) divided by x axis​

Answer 1

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Answer 2

Step-by-step explanation:

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x-axis divides the line segment in 2:1

Step-by-step explanation:

Let x-axis divides the line segment in k:1segment joining the points p (3,-6) and q (5,3) .

We know the any point on x-axis is (x,0)

Let the point of intersection R(x,0),whose coordinates can be find using section formula

So, from section formula

$\begin{gathered}x = \frac{k \times 5 +1 \times 3 }{1 + k} \\ \\ 0 = \frac{3k - 6}{k + 1} \\ \\ 3k - 6 = 0(k + 1) \\ \\ 3k - 6 = 0 \\ \\ 3k = 6 \\ \\ k = \frac{6}{3} \\ \\ \frac{k}{1} = \frac{2 }{1} \\ \\ \end{gathered}$

So, x-axis divides the line segment in 2:1.