Ex 11.2, 8 - Chapter 11 Class 11 Conic Sections

Transcript

Ex 11.2, 8 Find the equation of the parabola that satisfies the following conditions: Focus (0, 3); directrix y = 3 Since focus lies on y-axis Hence equation is either x2 = 4ay & x2 = 4ay Now focus has a negative y co-ordinate So, we have to use equation x2 = 4ay Coordinate of focus = (0, a) (0, a) = (0, 3) a = 3 a = 3 Equation of parabola is x2 = 4ay x2 = 4(3)y x2 = 12y