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find equation of the ellipse if it tangent two lines : x- 4y = 10 and x+y = 5

Quote: Originally Posted by sosgf find equation of the ellipse if it tangent two lines : x- 4y = 10 and x+y = 5 I'm pretty sure that this wording is the abbreviated version of your original question. But if this is actually the complete text then you'll get an infinite number of ellipses which have the 2 lines as tangents.