Question

Find the ratio in which the line segment joining the points P(-5, 4) and Q (1,-2) is divided by x-axis

Answer 1

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Answer 2

Answer:

The required ratio is 2 : 1

Step-by-step explanation:

On x-axis the coordinate of the point, A will be in the form : (x , 0)

Let the required ratio be k : 1

Now, by using the section formula :

$A(x , 0) = (\frac{k-5}{k+1},\frac{-2k + 4}{k+1})\\\\\implies \frac{-2k + 4}{k+1}=0\\\\\implies -2k+4=0\\\\\implies -2k=-4\\\\\bf\implies k = 2$

Therefore, The required ratio is 2 : 1