Question

Find the ratio in which the point P ( 11,Y ) divides the line segment joining the points A ( 15,5) and B ( 9,20) . Also , find the value of Y .

Answer 1

Let Required ratio be K : 1 .


Then , By section formula , the Coordinates of P are :

P ( 9K + 15 / K + 1 , 20K + 5 / K + 1 ).


But , this points is given as P ( 11 , Y ).


Therefore,

9K + 15 / K + 1 = 11




9K + 15 = 11K + 11


2K = 4


K = 2.


So , the required ratio is 2 : 1.

Putting K = 2 in P , we get


Y = 20 × 2 + 5 / ( 2 + 1 )

Y = 45/3


Y = 15.



Hence,

Y = 15

Answer 2

Hi!!!!!


Refer to the attachment