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Find the ratio in which X-axis divides t...

Find the ratio in which X-axis divides the line segment joining the points (8, 5) and (-3, - 7).

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Let X-axis divides the join of points (8,5) and (-3, -7) in the ratio `k:1`.
We know that at X-axis
` " "y =0`
` rArr" "(k*y_(2)+1*y_(1))/(k+1)=0`
`rArr" "(k(-7)+ 1(5))/(k+1)=0`
` rArr" "-7k+5=0`
` rArr" "k=(5)/(7)`

`therefore` Required ratio= 5: 7
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