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)Find the equation of the ellipse, whose length of the major axis is 20 and foci are (0,±5). |
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Answer» The length of the major axis is 20,And the foci are on y-axis , the major axis is along the y-axis.The equation of ellipse is of the form :x²/a²+ y²/a²=1 a = semi major axis = 20/2 = 10c² = a²-b² gives 5² = 10²-b² i.e. b² = 75 Therefore the equation of the ellipse us : x²/75+y²/100 = 1 |
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