Example 7 - Find parabola vertex (0, 0), focus (0, 2) - Examples

Example 7 - Chapter 11 Class 11 Conic Sections - Part 2

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Example 7 Find the equation of the parabola with vertex at (0, 0) & focus at (0, 2). Since focus (0, 2) lie on the y-axis Hence, Equation of parabola is either x2 = 4ay & x2 = −4ay Since focus has positive y – co-ordinate So, we have to use equation x2 = 4ay Coordinate of focus = (0, a) (0, a) = (0, 2) a = 2 Required equation is x2 = 4ay x2 = 4 × 2y x2 = 8y

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.