MHT CET 2018 Math Solved Paper

(d) Equation of parabola whose axis is parallel to X axis and latus rectum is 4a
(y−k)2 = 4a (x-h)
(where h & k are arbitrary constants)
differentiating b/s, we get
2 ( y - k )y' = 4ax ........(i)
again differentiating b/s, we get.
(y - k) y" + y’2 = 2a
⇒

2ax

y′

⋅y′′+y′2=2a from (i)
⇒ 2axy" + y' = 2ay’
⇒ order 2