Let (h, k) be the vertex of parabola. Then, equation of parabola parallel to Y-axis is (x−h)2=4a(y−k) ...(i) Also, Length of latusrectum = Distance of point (2, − 3) from the line 3x + 4y = 5 ⇒4a=
|6−12−5|
√32+42
⇒4a=
11
5
∴ From Eq. (i), (x−h)2=
11
5
(y−k) Differentiating w.r.t. x, we get 2(x−h)=