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Point p divides a line segment joining the points a and b in the ratio k:1 a is at (-3,6) and b is at (-3,-1) p lies on the line x+y =0 find the value of k

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point p divides a line segment joining the points a and b in the ratio k:1 a is at (-3,6) and b is at (-3,-1) p lies on the line x+y =0 find the value of k
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The ab segment equation is

X=-3 where -1≤y≤6

Point b lies on line X+Y=0

The point of intersecton is x=-3 ,y=3

The line segment is divided into two parts and its length is measured on Y axis

First part of divided segment =3-(-1)=4

Second part of divided segment =6-3=3

Point p divides the line 3:4 =3/4 :1
by (26.6k points)

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