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Observe the following facts for a parabola. (i) Axis of the parabola is the only line which can be the perpendicular bisector of the two chords of the parabola. (ii) If AB and CD are two parallel chords of the parabola and the normals at A and B intersect at P and the normals at C and D intersect at Q, then PQ is a normal to the parabola. For the parabola y^(2)=4x, AB and CD are any two parallel chords having slope 1. C_(1) is a circle passing through O, A and B and C_(2) is a circle passing through O, C and D. C_(1)andC_(2) intersect at |
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Answer» (4, -4) |
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