find the focus length of the lotus rectum and directrix of the parabola y Square =11x​

1 thought on “find the focus length of the lotus rectum and directrix of the parabola y Square =11x​”

1. Answer:

   Given y

   2

   =−12x

   Since the above equation is involving y

   2

   Its axis is x−axis

   Also coefficient of x is negative (-12)

   Hence we use equation

   y

   2

   =−4ax

   Comparing

   y

   2

   =−12x….(1) [Given]

   y

   2

   =−4ax

   From (1) and (2)

   −12x=−4ax

   4ax=12x

   a=3

   Coordinates of focus is (-a,0)

   i.e focus (−3,0)

   Equation of directix is

   x=a

   x=3

   Latus rectum =4a

   =4×3

   =12

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