Example 5 - Chapter 10 Class 11 Conic Sections

Last updated at May 6, 2024 by

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Example 5 Find the coordinates of the focus, axis, the equation of the directrix and latus rectum of the parabola y2 = 8x. Given equation is y2 = 8x. Since the above equation is involves y2 Its axis is x-axis Also coefficient of x is positive (+8) Hence we use equation y2 = 4ax Comparing y2 = 8x & y2 = 4ax From (1) & (2) 8x = 4ax ﷐8𝑥﷮4𝑥﷯ = a 2 = a a = 2 Coordinates of focus is = (a, 0) = (2, 0) Equation of Directix is x = −a x = −2 Latus Rectum is 4a = 4 × 2 = 8

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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 and Computer Science at Teachoo