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

Find the locus of the point of intersection of tangents in the parabola x^2=4a xdot which are inclined at an angle theta to each other. Which intercept constant length c on the tangent at the vertex. such that the area of A B R is constant c , where Aa n dB are the points of intersection of tangents with the y-axis and R is a point of intersection of tangents.

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.

Find the locus of the midpoint of the chords of the parabola y^2=4ax .which subtend a right angle at the vertex.

Find the locus of the midpoints of the portion of the normal to the parabola y^2=4a x intercepted between the curve and the axis.

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

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

Find the locus of the point of intersection of tangents to the ellipse if the difference of the eccentric angle of the points is (2pi)/3dot

The locus of the point of intersection of a pair of perpendicular tangents to an ellipse is a/an-

Find the locus of the midpoint of the chords of the circle x^2+y^2-ax-by=0 which subtend a right angle at the point (a/2 ,b/2)dot is

Obtain the locus of the point of intersection of the tangent to the circle x^2 + y^2 = a^2 which include an angle alpha .