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Find the coordinates of the foci, the vertices, the length of
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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.

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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.
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 Consider the circle and the parabola . They intersect at P and Q in first and 4th quadrant,respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents at the parabola at P and Q intersect the x-axis at S.

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Equation of the ellipse whose axes are the axes of coordinates and which passes through the point and has eccentricity is:

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Question 3
Let O be the vertex and Q be any point on the parabola,. It the point P divides the line segment OQ internally in the ratio 1 : 3, then the locus of P is :

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Question Text
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.