Find the ratio in which the y-axis divides the line segment joining the points
A(-4, 2) and B(3, 9). Also find th

1 thought on “<br /><br />Find the ratio in which the y-axis divides the line segment joining the points<br />A(-4, 2) and B(3, 9). Also find th”

1. Step-by-step explanation:

   Using the section formula, if a point (x,y) divides the line joining the points (x

   1

   ,y

   1

   ) and (x

   2

   ,y

   2

   ) in the ratio m:n, then

   (x,y)=(

   m+n

   mx

   2

   +nx

   1

   ,

   m+n

   my

   2

   +ny

   1

   )

   Let y−axis divides the line joining points A(−4,−6) and B(10,12) in ratio y:1

   Then, as per section formula the coordinates of point which divides the line is

   y+1

   10y−4 ,

   y+1

   12y−6

   We know that coordinate at y−axis of point of x is zero

   Then,

   y+1

   10y−4

   =0

   ⇒10y−4=0

   ⇒10y=4

   ⇒y=

   4

   10

   =

   2

   5

   Then, ratio is

   5

   2

   :1⇒2:5

   Substitute the value of y in y− coordinates, we get

   5

   2

   +1

   12

   5

   2

   −6

   =

   2−5

   24−30

   =

   −3

   −6

   =2

   Then, coordinates of point which divides the line joining A and B is (0,2) and ratio

   5

   2

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