find the ratio in which y-axis divides the line segment joining the points (5,-6) and (-1,-4) . also find the point of trisection

1 thought on “find the ratio in which y-axis divides the line segment joining the points (5,-6) and (-1,-4) . also find the point of trisection”

1. Step-by-step explanation:

   Let the point be A(5,−6), B(−1,−4) and P(0,y)

   Point P is on y−axis,hence its x co-ordinate is 0.So, it is of the form P(0,y)

   Now, we have to find ratio.

   Let the ratio be k:1

   Hence m

   1

   =k, m

   2

   =1, x

   1

   =5, y

   1

   =−6, x

   2

   =−1,y

   2

   =−4, x=0, y=0

   Using sections formula x=

   m

   1

   +m

   2

   m

   1

   x

   2

   +m

   2

   x

   1

   ⇒0=

   k+1

   −k+5

   ∴k=5

   Again y=

   m

   1

   +m

   2

   m

   1

   y

   2

   +m

   2

   y

   1

   =

   k+1

   −4k−6

   =

   6

   −20−6

   for k=5

   =

   3

   −13

   Hence the coordiantes of point is P(0,

   3

   −13

   )

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