In the xy plane does the line with equation y = 3x + 2 contain the point ( r , s) ?
1. ( 3r+2-s)(4r+9-s) = 0.
2. (4r-6-s)(3r+2-s) =0.
1. ( 3r+2-s)(4r+9-s) = 0.
2. (4r-6-s)(3r+2-s) =0.
if point (r,s) is on y=3x+2 ..3r+2-s=0
From 1
either ( 3r+2-s)=0 or (4r+9-s)=0...not sufficient
From 2
either ( 3r+2-s)=0 or (4r-6-s)=0...not sufficient
combining
( 3r+2-s)=0....sufficient
Ans option C
