Question

2. In what ratio is the line segment joining the point (4,5) and (1,2) divvied by the x-axis. Find also coordinate point of division.

Answer 1

Let the ratio be k:1
Now, as the x-axis is cutting the line.
Therefore, x=0
So,
      0=(k*1+1*4)/(k+1)
      K=-4
Hence, the x-axis cuts the line and divide it in the ratio of 4:1 externally or -4:1.

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Amresh