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Find the equation of the smallest circle passing through the i
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Find the equation of the smallest circle passing through the intersection of the line and the circle

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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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Let , be the end points of the latus rectum of the ellipse . The equations of parabolas with latus rectum PQ are

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Find the locus of a point, so that the join of and subtends a right angle at the moving point.

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Question Text
Find the equation of the smallest circle passing through the intersection of the line and the circle