The locus of the point of intersection of the tangents to `y^2 = 4x + 4 and y^2 = 8x + 16` which are perpendicular to each other is `x = -k`. Then `k =`

The locus of point of intersection of perpendicular tangents drawn to x^(2) = 4ay is

The locus of point of intersection of perpendicular tangent to parabola y^2= 4ax

Locus of the points of intersection of perpendicular tangents to x^(2)/9 - y^(2)/16 = 1 is

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

The locus of the point of intersection of the perpendicular tangents to the parabola x^2=4ay is .

The locus of the point of intersection of the perpendicular tangents to the ellipse 2x^(2)+3y^(2)=6 is

The locus of point of intersection of tangents inclined at angle 45^@ to the parabola y^2 = 4x is

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

Find the locus of the point of intersection of perpendicular tangents to the circle x^(2) + y^(2)= 4

Prove that the straight lines joining the origin to the point of intersection of the straight line h x+k y=2h k and the curve (x-k)^2+(y-h)^2=c^2 are perpendicular to each other if h^2+k^2=c^2dot