Find the equation of the parabola that satisfies the following conditions: Focus (6,0); directrix x=−6
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Solution
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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 y2=4ax Here , a=6 Thus, the equation of the parabola is y2=24x