Question

In what ratio does the X - axis devide the line segment joining p ( 4,3) and Q( 4 ,-5 )
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Answer 1

Let the ratio in which the point on x-axis R(x,0) divides the line segment joining the point P(4,3) and Q(4,-5) be k : 1

Now,

$0=\frac{k(-5)+1(3)}{k+1}$                             ( Using section formula)

$=>0=-5k+3$

$=>-5k=-3$

$=>k=\frac{3}{5}$

Therefore the ratio in which the x-axis divides the line segment joining the points P and Q is 3:5.

Hope it clears all your doubts.