If (5, 12) and (24, 7) are the foci of an ellipse passing through the origin, then find the eccentricity of the ellipse.
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Find the coordinates 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.16x2+y2=16
Find the equation of the hyperbola with foci (0,±3)and vertices (0,±211)
Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.x2=6y
Find the equation to which the equation
is transformed if the origin is shifted to the point (2,−3),
the axes remaining parallel to the original axies.
Find the equation of the circle passing through the points (2,3)and (−1,1)and whose centre is on the line x−3y−11=0.
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Find the equation of the ellipse, with major axis along the x-axis and passing through the points (4,3)and (−1,4).
Find the equation for the ellipse that satisfies the given conditions:b = 3, c = 4, centre at the origin; foci on a x axis.