Conic Sections: Challenge #5

Geometry Level 3

Sub-unit: Parabola

Consider the parabola \(y^{2} = 12x\). Variable chords of this parabola passing through a fixed point K on the axis of parabola are such that the sum of squares of reciprocals of the two parts of the chords through K is a constant. Then the x-coordinate of K is:

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