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Example 6 - Find parabola focus (2, 0), directrix x = -2

Example  6 - Chapter 11 Class 11 Conic Sections - Part 2

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Example 6 Find the equation of the parabola with focus (2, 0) and directrix x = –2. Since focus lies on x-axis Hence equation is either y2 = 4ax or y2 = −4ax Now, focus has positive x co-ordinate So, we have to use equation y2 = 4ax Coordinates of focus = (a, 0) (2, 0) = (a, 0) Hence a = 2 Required equation is y2 = 4ax y2 = 4 × 2 × x y2 = 8x

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