Question

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.

$y^2=12x$

Answer 1

The given equation of parabola is $y^2=12x$ Which is of the form $y^2=4ax.$
$\therefore 4a=12\Rightarrow a=3$
Therefore, Coordinates of focus are (3,0)
Axis of parabola is y = 0
Equation of the directrix is
$x=-3\Rightarrow x+3=0$
Lenght of latus rectum $=4\times 3=12.$