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Conics Resources

The parabola has equation y^2 = 4ax , where a is a positive constant. The point P(at^2, 2at) lies on C. The point S is the focus of the parabola C. The point B lies on the positive...

Show that, for the ellipse (x2 / a2 )+ (y2 / b2 ) = 1, the product of the perpendicular distances between the foci and any tangent to the ellipse is the square of the...

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