Question

y^2=12x find vertex foci directrix and length of lactus rectum of given parabola​

Answer 1

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Step-by-step explanation:

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