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Pole and Polar of a Circle

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Show that the locus of the middle points of the chords of a parabola passing through the vertex is a parabola.

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Q. Prove that the locus of the middle points of all chords of the parabola

y^{2} = 4 a x

passing through the vertex is the parabola

y^{2} = 2 a x

Q. The locus of the middle points of chords of the parabola

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drawn through the vertex is a parabola whose

Q. The locus of the middle points of all chords of the parabola

y^{2} = 4 a x

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Q. The locus of the middle points of chords of a parabola which subtend a right angle at the vertex of the parabola is

Q. Prove that the locus of the middle points of all chords of the parabola

y^{2} = 4 a x

which are drawn through the vertex is the parabola

y^{2} = 2 a x .

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Pole and Polar of a Circle

Standard XII Mathematics

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