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In what ratio is the line …

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In what ratio is the line segment joining the points A(6, 3) and B(-2, -5) divided by the x-axis? Also find the point of the intersection of AB and x-axis?
  • 1 answers

Anu Sharma 4 years, 8 months ago

Here A (6,3 ) and B(-2,-5) Now by x axis it is being divided so the point of intersection of AB and x axis let P(x,0) Let the ratio be k:1 Now x = k(-2)+1(6)/k+1 =-2k +6/k+1 Also 0 = k(-5)+1(3)/k+1 -5k +3 = 0 k = 3/5 So the ratio is 3:5 Now point P (x,0) here x = -2(3)+6(5)/3+5 = -6+30/8 = 24/8 =3 So the point P (3,0) and ratio is 3:5.
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