33. In the xy-plane, does the line in question y=3x+2 contain the point (r,s)?
(1) (3r+2-s)(4r+9-s)=0
(2) (4r-6-s)(3r+2-s)=0
OA C
(1) (3r+2-s)(4r+9-s)=0
(2) (4r-6-s)(3r+2-s)=0
OA C
if the line y=3x+2 contains the point (r,s) than s=3r+2;Chaitanya_1986 wrote:33. In the xy-plane, does the line in question y=3x+2 contain the point (r,s)?
(1) (3r+2-s)(4r+9-s)=0
(2) (4r-6-s)(3r+2-s)=0
OA C
1) (3r+2-s)(4r+9-s)=0 ;
now here two cases are possible; case a)3r+2-s=0; 3r+2=s;
case b) 4r+9-s=0; 4r+9=s;
case a) indicates that point (r,s) lies on the line y=3x+2; while case b) doesn't..!!
hence 1 alone is not sufficient to answer the question.
2) (4r-6-s)(3r+2-s)=0 similarly here two cases again are possible;
case a) 4r-6-s=0;
case b) 3r+2-s=0; s=3r+2;
as we can see case b) indicates that point (r,s) lies on the line y=3x+2; while case a) doesn't hence 2 alone is not sufficient to answer the question.
combining 1 and 2) we have common solution 3r+2-s=0 ; s=3r+2; which indicates that point (r,s)lies on the line y=3x+2;
hence C
