COMEDK Exam 2014 Solved Paper

Given, equation of parabola is y2=6x
Substitute x=24
y2=6×24
y=±√6×24=±√6×6×4=±(6×2)=±12
∴ Point on the parabola is (24,12),(24,−12) vertex of given parabola is (0,0).
∴ Equation of lines passing through (0,0) and (24,12),(24,−12) is
y=

12

24

x,y=

−12

24

x
⇒2y−x=0,2y+x=0
⇒2y±x=0 are required equation of lines.