BITSAT 2011 Paper

Rewriting the equation
(2x + y + 2) a + (3x – y – 4)b = 0 and for all a, b the straight lines pass through the intersection of 2x + y + 2 = 0 and 3x – y – 4 = 0
i.e., the point
(

2

5

,−

14

5

)