The line segment joining the points A(2,3) and B(6,-5) is intercepted by x-axis at the point K Find the - Maths - Coordinate Geometry

Question

The line segment joining the points A(2,3) and B(6,-5) is
intercepted by x-axis at the point K Find the ratio in which the K
divides AB Also write the co-ordinates of point K

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

As point K is on x-axis
Let the point be a,0Let the point K divides line segment AB in m:1Now, using section formulaa,0 =6m+2m+1 , -5m+3m+10=-5m+3m+10 = -5m+35m=3m=35So, point K divides line segment AB in 3:5 
a=6m+2m+1a=635+235+1=18+1053+55=288=72Coordinates of point k is 72,0 
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The line segment joining the points A(2,3) and B(6,-5) is intercepted by x-axis at the point K. Find the ratio in which the K divides AB. Also write the co-ordinates of point K