Statement-`1` : Tangents drawn from the point `(2,-1)(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)`.

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) .

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

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

The locus of the point of intersection of perpendicular tangents to the circles x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2) , 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 tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which meet at right , is

Statement-1: Tangents drawn from any point on the circle x^(2)+y^(2)=25 to the ellipse (x^(2))/(16)+(y^(2))/(9)=1 are at right angle Statement-2: The locus of the point of intersection of perpendicular tangents to an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is its director circle x^(2)+y^(2)=a^(2)+b^(2) .

The locus of point intersection of perpendicular tangents of ellipse ((x-1)^(2))/(16)+((y-1)^(2))/(9)=1 is

The locus of the point of intersection of the tangents at the end-points of normal chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , is

The locus of the point of intersection of two tangents to the hyperbola x^(2)//a^(2) -y^(2)//b^(2) = 1 which make an angle 90^(@) with one another is