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Conic Section Test - 71

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Conic Section Test - 71
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    Let A and B be two distinct points on the parabola y2 = 4x. If the axis of the parabola touches a circle of radius r having AB as its diameter, then the slope of the line joining A and B can be

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    Consider a circle with its centre lying on the focus of the parabola y2 = 2px such that it touches the directrix of the parabola. Then, a point of intersection of the circle and the parabola is

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    The tangent PT and the normal PN to the parabola y2 = 4ax at a point P on it meet its axis at points T and N respectively. The locus of the centroid of the triangle PTN is a parabola whose

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