On which curve does the perpendicular tangents drawn to the hyperbola `(x^2)/(25)-(y^2)/(16)=1` intersect?

Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=1 intersect on the curve.

The points on the ellipse (x^(2))/(2)+(y^(2))/(10)=1 from which perpendicular tangents can be drawn to the hyperbola (x^(2))/(5)-(y^(2))/(1) =1 is/are

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

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

Number of points on the ellipse (x^(2))/(25) + (y^(2))/(16) =1 from which pair of perpendicular tangents are drawn to the ellipse (x^(2))/(16) + (y^(2))/(9) =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) .

the eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(25)=1 is

The point of intersection of tangents drawn to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 at the points where it is intersected by the line l x+m y+n=0 is

Number of points from where perpendicular tangents can be drawn to the curve x^2/16-y^2/25=1 is

The number of points outside the hyperbola x^2/9-y^2/16=1 from where two perpendicular tangents can be drawn to the hyperbola are: (a) 0 (b) 1 (c) 2 (d) none of these