Show that the locus of point of intersection of perpendicular tangents to the parabola `y(2)=4ax` is the directrix x+a=0.

The locus of the point of intersection of perpendicular tangents to the parabola y^(2)=4ax is

The locus of the point of intersectio of the perpendicular tangents to the parabola x^(2)=4ay is

Prove that the locus of point of intersection of two perpendicular normals to the parabola y^(2) = 4ax isl the parabola y^(2) = a(x-3a)

Locus of the point of intersection of perpendicular tangents to the circles x^(2)+y^(2)=10 is

Locus of point of intersection of perpendicular tangents to the circle x^(2)+y^(2)-4x-6y-1=0 is

The locus of the point of intersection of two perpendicular tangents to the circle x^(2)+y^(2)=a^(2)is

Assertion (A) : The locus of the point of intersection of perpendicular tangents to y^(2) = 4ax is its directrix. Reason (R) : If theta is acute angle between the pair of tangents drawn from (x_(1),y_(2)) to parabola S =0 then tan theta= (sqrt(S_(11)))/(|x_(1)+a|) The correct answer is