Find the locus of the point of intersection of the normals at the end of the focal chord of the parabola `y^2=4a xdot`

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 tangents at the ends of the normal chords of the hyperbola x^2-y^2=a^2 is a^2(y^2-x^2)=4x^2y^2dot

The point of intersection of the tangents at the ends of the latus rectum of the parabola y^2=4x is_____________

The locus of the point of intersection of the tangent at the endpoints of the focal chord of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 ( b < a) (a) is a an circle (b) ellipse (c) hyperbola (d) pair of straight lines

The locus of the middle points of the focal chords of the parabola, y^2=4x is:

Length of the shortest normal chord of the parabola y^2=4ax is

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .

Find the locus of the midpoint of normal chord of parabola y^2=4ax

Find the locus of thepoint of intersection of two normals to a parabolas which are at right angles to one another.

The locus of the point of intersection of perependicular tangent of the parabola y^(2) =4ax is