Answer to Question #223994 in Analytic Geometry for Bless

Question #223994

The tangents to the parabola y²= 4ax at the points P(ap² , 2ap) and Q(aq² , 2aq) meet at R. If R lies on the line 2x + a = 0, find the equation of the locus of the mid-point of PQ.

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Related Questions

1. Show that, if the chord joining the points P(ap2 , 2ap), Q(aq2 , 2aq) on the parabola y2= 4ax pass
2. The normal to the parabola y2= 4ax at the point P(at2 , 2at) meets the x-axis at A. Find the equatio
3. Find the condition that the line y = mx + c should be a tangent to the parabola y2= 4x. Use this res
4. The tangent to the parabola y2= 4ax at the point P(at2 , 2at) meets the x-axis at A and the y-axis a
5. Show that the line x + y − 2 = 0 is a tangent to the parabola x2+ 8y = 0 and find the position v
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7. If the position vector of one end of a chord through the focus of the parabola y2= 8x is 1/2i + 2j,

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