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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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.