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 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

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.

Find the locus of points of intersection of tangents drawn at the end of all normal chords to the parabola y^2 = 8(x-1) .

The locus of the point of intersection of tangents drawn at the extremities of a focal chord to the parabola y^2=4ax is the curve

The locus of the point of intersection of normals at the points drawn at the extremities of focal chord the parabola y^2= 4ax is

The locus of the point of intersection of tangents drawn at the extremities of a normal chord to the parabola y^2=4ax is the curve

The locus of the point of intersection of the tangents at the end-points of normal chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , is

Prove that the locus of the point of intersection of tangents at the ends of normal chords of hyperbola x^(2)-y^(2)=a^(2)" is "a^(2) (y^(2)-x^2)=4x^2y^(2)

The locus of the midpoints of the focal chords of the parabola y^(2)=4ax is

Find the locus of the point of intersection of two mutually perpendicular normals to the parabola y^2=4ax and show that the abscissa of the point can never be smaller than 3a. What is the ordinate