Find the equation of the parabola that satisfies the following conditions: Focus $(6, 0)$ ; directrix $x = - 6$

Question

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Answer 1

Focus $= (6, 0)$ ; directrix $x = - 6$
Since the focus lies on the $x$ -axis and directrix is to the left of $y$ -axis.
So, the axis of the parabola is $x$ -axis
Therefore the equation of the parabola is either of the form $y^{2} = 4 a x$
Here , $a = 6$
Thus, the equation of the parabola is $y^{2} = 24 x$

Answer 2

Focus

= (6, 0)

; directrix

x = - 6

Since the focus lies on the

x

-axis and directrix is to the left of

y

-axis.
So, the axis of the parabola is

x

-axis
Therefore the equation of the parabola is either of the form

y^{2} = 4 a x

Here ,

a = 6

Thus, the equation of the parabola is

y^{2} = 24 x