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Prove that the locus of the point of int...

Prove that the locus of the point of intersection of the normals at the ends of a system of parallel cords of a parabola is a straight line which is a normal to the curve.

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Prove that the locus of the point of intersection of the normals at the ends of a system of parallel chords of a parabola is a straight line which is a normal to the curve.

Prove that the locus of the point of intersection of the normals at the ends of a system of parallel chords of a parabola is a straight line which is a normal to the curve.

Find the locus of the point of intersection of the normals at the end of the focal chord of the parabola y^(2)=4ax

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Show that the locus of point of intersection of normals at the ends of a focal chord of the parabola y^(2) = 4ax is y^(2)= a(x- 3a).

The locus of the point of intersection of the tangents at the ends of normal chord of the hyperbola x^(2)-y^(2)=a^2 is

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