Question

find the cordinates of the focus axis of the parabola the equation of the directix and the length of the lectus retum y2=24x

Answer 1

Answer: 4A =12

Step-by-step explanation:The given equation is y  

2

=12x

Here the coefficient of x is positive.

Hence the parabola opens right

On comparing this equation with y  

2

=4ax,  

4a=12

⇒a=3

∴ Coordinates of the focus =(a,0)=(3,0)

Since the given equation involves y  

2

, the axis of the parabola is the x-axis

Equation of directrix x=−a i.e. x=−3

Length of latus rectum =4a=12