Question

find the ratio on the which straight line 2x+3y-20=0 divides the joining of the points (2,3) and (2,10)

Answer 1

Step-by-step explanation:

(2,3) and (2,10) occur on the line x=2.

So, to know the ratio

the equation of the straight line will be set on x=2

2×2 + 3y - 20 = 0

3y = 20 - 4

y = 16/3

Now, formulating ratio is quite a easy process

Ratio = ( y - y1 ) : ( y2 - y) [ because x=2 constant ]

= ( 16/3 - 3 ) : ( 10 - 16/3 )

= ( (16 - 9)/3) : ( (30-16)/3)

= 7 : 14

= 1 : 2