Question

The equation of the parabola with focus (3, 0) and the directirx x +x3 = 0 is

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

$\because S{P}^2=P{M}^2$
$\Rightarrow (x-3{)}^2+y^2={\left|\frac{x+3}{\sqrt{1}}\right|}^2$
$\Rightarrow x^2+9-6x+y^2=x^2+9+6x$
$\Rightarrow y^2=12x.$