Tangents are drawn to the parabola `y^2=4a x` at the point where the line `l x+m y+n=0` meets this parabola. Find the point of intersection of these tangents.

Tangents are drawn to the circle x^(2)+y^(2)=9 at the points where it is met by the circle x^(2)+y^(2)+3x+4y+2=0. Fin the point of intersection of these tangents.

If the tangents are drawn to the circle x^(2)+y^(2)=12 at the point where it meets the circle x^(2)+y^(2)-5x+3y-2=0, then find the point of intersection of these tangents.

Tangents are drawn to the circle x^(2)+y^(2)=16 at the points where it intersects the circle x^(2)+y^(2)-6x-8y-8=0 , then the point of intersection of these tangents is

Statement-1: The tangents at the extrenities of a forcal of the parabola y^(2)=4ax intersect on the line x + a = 0. Statement-2: The locus of the point of intersection of perpendicular tangents to the parabola is its directrix

If the line 5x-4y-12=0 meets the parabola x^(2)-8y in A and B then the point of intersection of the two tangents at A and B is

if the tangent to the parabola y=x(2-x) at the point (1,1) intersects the parabola at P. find the co-ordinate of P.

The point of intersetion of the tangents to the parabola y^(2)=4x at the points where the circle (x-3)^(2)+y^(2)=9 meets the parabola, other than the origin,is