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

part 2 - Example 7 - Examples - Serial order wise - Chapter 10 Class 11 Conic Sections

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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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