The locus of the point of intersection of perpendicular tangents to the hyperbola `(x^(2))/(3)-(y^(2))/(1)=1`, is

Statement- 1 : Tangents drawn from the point (2,-1) to the hyperbola x^(2)-4y^(2)=4 are at right angle. Statement- 2 : The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is the circle x^(2)+y^(2)=a^(2)-b^(2) .

IF the locus of the point of intersection of two perpendicular tangents to a hyperbola (x^(2))/(25) - (y^(2))/(16) =1 is a circle with centre (0, 0), then the radius of a circle 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 point of intersection of perpendicular tangent to parabola y^2= 4ax

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

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

The locus of the point of intersection of two prependicular tangents of the ellipse x^(2)/9+y^(2)/4=1 is