Example 7 - Find parabola vertex (0, 0), focus (0, 2) - Parabola - Basic Questions

  1. Chapter 11 Class 11 Conic Sections
  2. Serial order wise

Transcript

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

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.