If the line segment joining (2,3) and (-1,2) is
divided internally in the ratio 3:4 by the
graph of the equation x+2y =k

2 thoughts on “If the line segment joining (2,3) and (-1,2) is<br />divided internally in the ratio 3:4 by the<br />graph of the equation x+2y =k”

1. Answer:

   If the line segment joining (x

   1

   ,y

   1

   ) and (x

   2

   ,y

   2

   ) is divide by internally in the ratio m

   1

   :m

   2

   then the intersection point is

   x=

   m

   1

   +m

   2

   m

   1

   x

   2

   +m

   2

   x

   1

   and

   y=

   m

   1

   +m

   2

   m

   1

   y

   2

   +m

   2

   y

   1

   so

   x=

   3+4

   3×(−1)+4×2

   =

   7

   5

   y=

   3+4

   3×(2)+4×3

   =

   7

   18

   this point (

   7

   5

   ,

   7

   18

   ) lies on given equation of line.

   satisfying the equation

   7

   5

   +2×

   7

   18

   =k

   k=

   7

   41

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2. Step-by-step explanation

   Ans :– K = 41/7

   Reply