In each of the, find the equation of the parabola that satisfies the given conditions:

Focus (6,0); directrix x = – 6


Focus (6,0); directrix x = -6


Since, the focus lies on the x–axis is the axis of the parabola.


Thus,


The equation of the parabola is either of the form y2 = 4ax or y2 = -4ax.


It is also seen that the directrix, x = -6 is to the left of the y- axis, while the focus (6, 0) is to the right of the y –axis.


Hence, the parabola is of the form y2 = 4ax.


Here, a = 6


Thus, the equation of the parabola is y2 = 24x.


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