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Last updated at Feb. 6, 2020 by Teachoo
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Ex 11.2, 5 Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for y2 = 10x Given equation is y2 = 10x. Since the above equation is involves y2 Its axis is x-axis Also coefficient of x is positive (+) Hence we use equation y2 = 4ax Comparing y2 = 10x & y2 = 4ax From (1) & (2) 4ax = 10x a = 10๐ฅ/4๐ฅ a = 5/2 Coordinate of focus is (a, 0) i.e. focus (๐/๐,๐) Equation of Directix is x = โa x = (โ๐)/๐ Latus Rectum is 4a = 4 ร 5/2 = 10
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