- Find the equation of the ellipse with centre at the origin , major axis on the x- axis and passing through the point (4,3) and (-1,4)..
- (1) A circle is concentric with the ellipse (x^2)/(a^2) + (y^2)/(b^2) =1 and passed through the focus F1 and F2 of the ellipse. Two curves intersect at four points. Let P be any point of intersection. If the major axis of the ellipse is 15 and the area of the triangle PF1F2 = 26 , then find the value of 4a^2 - 4b^2 .
- Find the co-ordiantes of the foci, the vertices, the length of major axis, the minor axis the eccentricity and the length of the latus rectum of the ellipse.
- Find the equation of the ellipse whose major axis is on the x-axis and passes through the points (1,4) and (-6,1)
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